×

\(f(R)\) theories. (English) Zbl 1215.83005

Summary: Over the past decade, \(f(R)\) theories have been extensively studied as one of the simplest modifications to general relativity. In this article we review various applications of \(f(R)\) theories to cosmology and gravity – such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds. We present a number of ways to distinguish those theories from general relativity observationally and experimentally. We also discuss the extension to other modified gravity theories such as Brans-Dicke theory and Gauss-Bonnet gravity, and address models that can satisfy both cosmological and local gravity constraints.

MSC:

83-02 Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Relativistic cosmology
83C57 Black holes
83C15 Exact solutions to problems in general relativity and gravitational theory
83C25 Approximation procedures, weak fields in general relativity and gravitational theory
85A40 Astrophysical cosmology

Software:

LATTICEEASY
PDFBibTeX XMLCite
Full Text: DOI arXiv EuDML Link

References:

[1] Abdelwahab, M.; Carloni, S.; Dunsby, Pks, Cosmological dynamics of ‘exponential gravity’, Class. Quantum Grav., 25, 135002 (2008) · Zbl 1145.83022
[2] Acquaviva, V.; Baccigalupi, C.; Perrotta, F., Weak lensing in generalized gravity theories, Phys. Rev. D, 70, 023515 (2004)
[3] Acquaviva, V.; Verde, L., Observational signatures of Jordan-Brans-Dicke theories of gravity, J. Cosmol. Astropart. Phys., 2007, 12, 001 (2007)
[4] Afonso, Vi; Bazeia, D.; Menezes, R.; Petrov, Ay, f(R)-brane, Phys. Lett. B, 658, 71-76 (2007) · Zbl 1246.83172
[5] Agarwal, N.; Bean, R., The dynamical viability of scalar-tensor gravity theories, Class. Quantum Grav., 25, 165001 (2008) · Zbl 1145.83345
[6] Akbar, M.; Cai, R-G, Friedmann equations of FRW universe in scalar-tensor gravity, f(R) gravity and first law of thermodynamics, Phys. Lett. B, 635, 7-10 (2006) · Zbl 1247.83242
[7] Akbar, M.; Cai, R-G, Thermodynamic Behavior of Field Equations for f(R) Gravity, Phys. Lett. B, 648, 243-248 (2007) · Zbl 1248.83102
[8] Akbar, M.; Cai, R-G, Thermodynamic behavior of the Friedmann equation at the apparent horizon of the FRW universe, Phys. Rev. D, 75, 084003 (2007)
[9] Alam, U.; Sahni, V., Confronting braneworld cosmology with supernova data and baryon oscillations, Phys. Rev. D, 73, 084024 (2006)
[10] Alam, U.; Sahni, V.; Starobinsky, Aa, The case for dynamical dark energy revisited, J. Cosmol. Astropart. Phys., 2004, 6, 008 (2004)
[11] Alam, U.; Sahni, V.; Starobinsky, Aa, Exploring the properties of dark energy using type-Ia supernovae and other datasets, J. Cosmol. Astropart. Phys., 2007, 2, 011 (2007)
[12] Alexeyev, S.; Toporensky, A.; Ustiansky, V., The nature of singularity in Bianchi I cosmological string gravity model with second order curvature corrections, Phys. Lett. B, 509, 151 (2001) · Zbl 0977.83117
[13] Ali, A., Gannouji, R., Sami, M. and Sen, A.A., “Background cosmological dynamics in f(R) gravity and observational constraints”, arXiv e-print, (2010). [arXiv:1001.5384 [astro-ph.CO]]. (Cited on page 29.)
[14] Alimohammadi, M.; Ghalee, A., Phase space of generalized Gauss-Bonnet dark energy, Phys. Rev. D, 80, 043006 (2009)
[15] Alimohammadi, M.; Ghalee, A., Remarks on generalized Gauss-Bonnet dark energy, Phys. Rev. D, 79, 063006 (2009)
[16] Allemandi, G.; Borowiec, A.; Francaviglia, M., Accelerated cosmological models in first-order nonlinear gravity, Phys. Rev. D, 70, 043524 (2004)
[17] Allemandi, G.; Borowiec, A.; Francaviglia, M., Accelerated cosmological models in Ricci squared gravity, Phys. Rev. D, 70, 103503 (2004)
[18] Allemandi, G.; Francaviglia, M.; Ruggiero, Ml; Tartaglia, A., Post-Newtonian parameters from alternative theories of gravity, Gen. Relativ. Gravit., 37, 1891-1904 (2005) · Zbl 1086.83028
[19] Allemandi, G.; Ruggiero, Ml, Constraining extended theories of gravity using solar system tests, Gen. Relativ. Gravit., 39, 1381-1388 (2007) · Zbl 1181.83150
[20] Alves, Mes; Miranda, Od; De Araujo, Jcn, Probing the f(R) formalism through gravitational wave polarizations, Phys. Lett. B, 679, 401-406 (2009)
[21] Amarzguioui, M.; Elgarøy, Ø.; Mota, Df; Multamäki, T., Cosmological constraints on f(R) gravity theories within the Palatini approach, Astron. Astrophys., 454, 707-714 (2006) · Zbl 1102.85001
[22] Amendola, L., Scaling solutions in general non-minimal coupling theories, Phys. Rev. D, 60, 043501 (1999)
[23] Amendola, L., Coupled quintessence, Phys. Rev. D, 62, 043511 (2000)
[24] Amendola, L.; Capozziello, S.; Litterio, M.; Occhionero, F., Coupling first-order phase transitions to curvature-squared inflation, Phys. Rev. D, 45, 417-425 (1992)
[25] Amendola, L.; Charmousis, C.; Davis, Sc, Constraints on Gauss-Bonnet gravity in dark energy cosmologies, J. Cosmol. Astropart. Phys., 2006, 12, 020 (2006)
[26] Amendola, L.; Gannouji, R.; Polarski, D.; Tsujikawa, S., Conditions for the cosmological viability of f(R) dark energy models, Phys. Rev. D, 75, 083504 (2007)
[27] Amendola, L.; Kunz, M.; Sapone, D., Measuring the dark side (with weak lensing), J. Cosmol. Astropart. Phys., 2008, 4, 013 (2008)
[28] Amendola, L.; Polarski, D.; Tsujikawa, S., Are f(R) dark energy models cosmologically viable?, Phys. Rev. Lett., 98, 131302 (2007) · Zbl 1228.83115
[29] Amendola, L.; Polarski, D.; Tsujikawa, S., Power-laws f(R) theories are cosmologically unacceptable, Int. J. Mod. Phys. D, 16, 1555-1561 (2007) · Zbl 1200.83092
[30] Amendola, L.; Quercellini, C., Skewness as a test of the equivalence principle, Phys. Rev. Lett., 92, 181102 (2004)
[31] Amendola, L.; Tsujikawa, S., Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models, Phys. Lett. B, 660, 125-132 (2008)
[32] Amendola, L.; Tsujikawa, S., Dark Energy: Theory and Observations (2010), Cambridge; New York: Cambridge University Press, Cambridge; New York · Zbl 1200.85001
[33] Ananda, Kn; Carloni, S.; Dunsby, Pks, Evolution of cosmological gravitational waves in f(R) gravity, Phys. Rev. D, 77, 024033 (2008)
[34] Antoniadis, I.; Rizos, J.; Tamvakis, K., Singularity-free cosmological solutions of the superstring effective action, Nucl. Phys. B, 415, 497-514 (1994)
[35] Appleby, Sa; Battye, Ra, Do consistent F(R) models mimic general relativity plus Λ?, Phys. Lett. B, 654, 7-12 (2007) · Zbl 1246.83160
[36] Appleby, Sa; Battye, Ra, Aspects of cosmological expansion in F(R) gravity models, J. Cosmol. Astropart. Phys., 2008, 5, 019 (2008)
[37] Appleby, S., Battye, R. and Starobinsky, A., “Curing singularities in cosmological evolution of F(R) gravity”, arXiv e-print, (2009). [arXiv:0909.1737 [astro-ph.CO]]. (Cited on pages 55, 90, and 111.)
[38] Arkani-Hamed, N.; Cheng, H-C; Luty, Ma; Mukohyama, S., Ghost condensation and a consistent infrared modification of gravity, J. High Energy Phys., 2004, 5, 074 (2004)
[39] Astier, P.; , The Supernova Legacy Survey: Measurement of Ω_M, Ω_Λ and w from the first year data set, Astron. Astrophys., 447, 31-48 (2006)
[40] Atazadeh, K.; Farhoudi, M.; Sepangi, Hr, Accelerating universe in \(f({\mathcal R})\) brane gravity, Phys. Lett. B, 660, 275-281 (2008) · Zbl 1246.83235
[41] Atazadeh, K.; Sepangi, Hr, Accelerated expansion in modified gravity with a Yukawalike term, Int. J. Mod. Phys. D, 16, 687-697 (2007) · Zbl 1119.83024
[42] Babichev, E. and Langlois, D., “Relativistic stars in f(R) and scalar-tensor theories”, arXiv e-print, (2009). [arXiv:0911.1297 [gr-qc]]. (Cited on pages 7, 83, 84, 88, 89, 90, and 121.)
[43] Babichev, E.; Langlois, D., Relativistic stars in f(R) gravity, Phys. Rev. D, 80, 121501 (2009)
[44] Baccigalupi, C.; Matarrese, S.; Perrotta, F., Tracking extended quintessence, Phys. Rev. D, 62, 123510 (2000)
[45] Baghram, S.; Farhang, M.; Rahvar, S., Modified gravity with \(f(R) = \sqrt{{R^2} - R_0^2} \), Phys. Rev. D, 75, 044024 (2007)
[46] Baghram, S.; Movahed, Ms; Rahvar, S., Observational tests of a two parameter power-law class modified gravity in Palatini formalism, Phys. Rev. D, 80, 064003 (2009)
[47] Baghram, S.; Rahvar, S., Inverse problem: Reconstruction of the modified gravity action in the Palatini formalism by supernova type Ia data, Phys. Rev. D, 80, 124049 (2009)
[48] Balcerzak, A.; Dabrowski, Mp, Generalized Israel junction conditions for a fourth-order brane world, Phys. Rev. D, 77, 023524 (2008)
[49] Balcerzak, A.; Dabrowski, Mp, Gibbons-Hawking boundary terms and junction conditions for higher-order brane gravity models, J. Cosmol. Astropart. Phys., 2009, 1, 018 (2009)
[50] Bamba, K., “Behavior of F(R) gravity around a crossing of the phantom divide”, arXiv e-print, (2009). [arXiv:0909.2991 [astro-ph.CO]]. (Cited on pages 29, 108, and 110.)
[51] Bamba, K.; Geng, C-Q, Thermodynamics in F(R) gravity with phantom crossing, Phys. Lett. B, 679, 282-287 (2009)
[52] Bamba, K.; Geng, C-Q; Nojiri, S.; Odintsov, Sd, Crossing of the phantom divide in modified gravity, Phys. Rev. D, 79, 083014 (2009)
[53] Bamba, K.; Geng, C-Q; Tsujikawa, S., Equilibrium thermodynamics in modified gravitational theories, Phys. Lett. B, 688, 101-109 (2010)
[54] Bamba, K.; Nojiri, S.; Odintsov, Sd, The future of the universe in modified gravitational theories: approaching a finite-time future singularity, J. Cosmol. Astropart. Phys., 2008, 10, 045 (2008)
[55] Barausse, E.; Sotiriou, Tp; Miller, Jc, Curvature singularities, tidal forces and the viability of Palatini f(R) gravity, Class. Quantum Grav., 25, 105008 (2008) · Zbl 1140.83389
[56] Barausse, E.; Sotiriou, Tp; Miller, Jc, A no-go theorem for polytropic spheres in Palatini f(R) gravity, Class. Quantum Grav., 25, 062001 (2008) · Zbl 1137.83357
[57] Bardeen, Jm, Gauge-invariant cosmological perturbations, Phys. Rev. D, 22, 1882-1905 (1980)
[58] Bardeen, Jm; Bond, Jr; Kaiser, N.; Szalay, As, The Statistics of Peaks of Gaussian Random Fields, Astrophys. J., 304, 15-61 (1986)
[59] Bardeen, Jm; Carter, B.; Hawking, Sw, The four laws of black hole mechanics, Commun. Math. Phys., 31, 161-170 (1973) · Zbl 1125.83309
[60] Barragán, C.; Olmo, Gj; Sanchis-Alepuz, H., Bouncing cosmologies in Palatini f(R) gravity, Phys. Rev. D, 80, 024016 (2009)
[61] Barrow, Jd, The premature recollapse problem in closed inflationary universes, Nucl. Phys. B, 296, 697-709 (1988)
[62] Barrow, Jd; Clifton, T., Exact cosmological solutions of scale-invariant gravity theories, Class. Quantum Grav., 23, L1-L6 (2006) · Zbl 1087.83053
[63] Barrow, Jd; Cotsakis, S., Inflation and the Conformal Structure of Higher-Order Gravity Theories, Phys. Lett. B, 214, 515-518 (1988)
[64] Barrow, Jd; Hervik, S., Evolution of universes in quadratic theories of gravity, Phys. Rev. D, 74, 124017 (2006)
[65] Barrow, Jd; Maeda, K-I, Extended inflationary universes, Nucl. Phys. B, 341, 294308 (1990)
[66] Bartelmann, M.; Schneider, P., Weak gravitational lensing, Phys. Rep., 340, 291-472 (2001) · Zbl 0971.83518
[67] Barth, Nh; Christensen, Sm, Quantizing Fourth Order Gravity Theories. 1. The Functional Integral, Phys. Rev. D, 28, 1876-1893 (1983)
[68] Bartolo, N.; Pietroni, M., Scalar-tensor gravity and quintessence, Phys. Rev. D, 61, 023518 (1999)
[69] Barvinsky, Ao; Solodukhin, Sn, Non-minimal coupling, boundary terms and renor-malization of the Einstein-Hilbert action and black hole entropy, Nucl. Phys. B, 479, 305-318 (1996) · Zbl 0925.83043
[70] Bassett, Ba; Liberati, S., Geometric reheating after inflation, Phys. Rev. D, 58, 021302 (1998)
[71] Bassett, Ba; Tsujikawa, S.; Wands, D., Inflation dynamics and reheating, Rev. Mod. Phys., 78, 537-589 (2006)
[72] Bazeia, D.; Carneiro Da Cunha, B.; Menezes, R.; Petrov, Ay, Perturbative aspects and conformal solutions of F(R) gravity, Phys. Lett. B, 649, 445-453 (2007) · Zbl 1248.83103
[73] Bean, R., “A weak lensing detection of a deviation from General Relativity on cosmic scales”, arXiv e-print, (2009). [arXiv:0909.3853 [astro-ph.CO]]. (Cited on pages 105 and 108.)
[74] Bean, R.; Bernat, D.; Pogosian, L.; Silvestri, A.; Trodden, M., Dynamics of Linear Perturbations in f(R) Gravity, Phys. Rev. D, 75, 064020 (2007)
[75] Bekenstein, Jd, Black holes and entropy, Phys. Rev. D, 7, 2333-2346 (1973) · Zbl 1369.83037
[76] Bekenstein, Jd, Erratum: Relativistic gravitation theory for the modified Newtonian dynamics paradigm, Phys. Rev. D, 71, 069901 (2005)
[77] Bergmann, Pg, Comments on the scalar-tensor theory, Int. J. Theor. Phys., 1, 25-36 (1968)
[78] Berkin, Al; Maeda, K-I; Yokoyama, J., Soft Inflation, Phys. Rev. Lett., 65, 141-144 (1990)
[79] Bernardeau, F.; Colombi, S.; Gaztañaga, E.; Scoccimarro, R., Large-scale structure of the Universe and cosmological perturbation theory, Phys. Rep., 367, 1-248 (2002) · Zbl 0996.85005
[80] Bertolami, O.; Boehmer, Cg; Harko, T.; Lobo, Fsn, Extra force in f(R) modified theories of gravity, Phys. Rev. D, 75, 104016 (2007)
[81] Bertolami, O.; Paramos, J., Do f(R) theories matter?, Phys. Rev. D, 77, 084018 (2008)
[82] Bertolami, O.; Sequeira, Mc, Energy Conditions and Stability in f(R) theories of gravity with non-minimal coupling to matter, Phys. Rev. D, 79, 104010 (2009)
[83] Bertotti, B.; Iess, L.; Tortora, P., A test of general relativity using radio links with the Cassini spacecraft, Nature, 425, 374-376 (2003)
[84] Bertschinger, E.; Zukin, P., Distinguishing modified gravity from dark energy, Phys. Rev. D, 78, 024015 (2008)
[85] Billyard, A.; Coley, A.; Ibáñez, J., Asymptotic behavior of cosmological models in scalar-tensor theories of gravity, Phys. Rev. D, 59, 023507 (1998)
[86] Binétruy, P.; Deffayet, C.; Ellwanger, U.; Langlois, D., Brane cosmological evolution in a bulk with cosmological constant, Phys. Lett. B, 477, 285-291 (2000)
[87] Binétruy, P.; Deffayet, C.; Langlois, D., Non-conventional cosmology from a brane universe, Nucl. Phys. B, 565, 269-287 (2000) · Zbl 0965.83036
[88] Birrell, Nd; Davis, Pcw, Quantum fields in curved space (1982), Cambridge; New York: Cambridge University Press, Cambridge; New York · Zbl 0476.53017
[89] Bisabr, Y., Solar system constraints on a cosmologically viable f(R) theory, Phys. Lett. B, 683, 96-100 (2010)
[90] Boehmer, Cg; Harko, T.; Lobo, Fsn, Dark matter as a geometric effect in f(R) gravity, Astropart. Phys., 29, 386-392 (2008)
[91] Boehmer, Cg; Hollenstein, L.; Lobo, Fsn, Stability of the Einstein static universe in f(R) gravity, Phys. Rev. D, 76, 084005 (2007)
[92] Böhmer, Cg; Harko, T.; Lobo, Fsn, The generalized virial theorem in f(R) gravity, J. Cosmol. Astropart. Phys., 2008, 3, 024 (2008)
[93] Boisseau, B.; Esposito-Farèse, G.; Polarski, D.; Starobinsky, Aa, Reconstruction of a scalar-tensor theory of gravity in an accelerating universe, Phys. Rev. Lett., 85, 2236-2239 (2000)
[94] Borisov, A.; Jain, B., Three-point correlations in f(R) models of gravity, Phys. Rev. D, 79, 103506 (2009)
[95] Borunda, M.; Janssen, B.; Bastero-Gil, M., Palatini versus metric formulation in higher-curvature gravity, J. Cosmol. Astropart. Phys., 2008, 11, 008 (2008)
[96] Borzou, A.; Sepangi, Hr; Shahidi, S.; Yousefi, R., Brane \(f({\mathcal R})\) gravity, Europhys. Lett., 88, 29001 (2009)
[97] Bouhmadi-López, M., “ f(R) brane cosmology”, arXiv e-print, (2010). [arXiv:1001.3028 [astro-ph.CO]]. (Cited on pages 112 and 116.) · Zbl 1246.83244
[98] Boulanger, N.; Damour, T.; Gualtieri, L.; Henneaux, M., Inconsistency of interacting, multi-graviton theories, Nucl. Phys. B, 597, 127-171 (2001) · Zbl 0972.83051
[99] Boulanger, N.; Damour, T.; Gualtieri, L.; Henneaux, M., Inconsistency of interacting, multi-graviton theories, Nucl. Phys. B, 597, 127-171 (2001) · Zbl 0972.83051
[100] Brans, C.; Dicke, Rh, Mach’s Principle and a Relativistic Theory of Gravitation, Phys. Rev., 124, 925-935 (1961) · Zbl 0103.21402
[101] Brax, P.; Van De Bruck, C.; Davis, Ac; Shaw, Dj, f(R) Gravity and Chameleon Theories, Phys. Rev. D, 78, 104021 (2008)
[102] Breizman, Bn; Gurovich, Vt; Sokolov, Vp, On the Possibility of Setting up Regular Cosmological Solutions, Zh. Eksp. Teor. Fiz., 59, 288 (1970)
[103] Briscese, F.; Elizalde, E., Black hole entropy in modified-gravity models, Phys. Rev. D, 77, 044009 (2008)
[104] Brookfield, Aw; Van De Bruck, C.; Hall, Lmh, Viability of f(R) theories with additional powers of curvature, Phys. Rev. D, 74, 064028 (2006)
[105] Brustein, R.; Madden, R., Model of graceful exit in string cosmology, Phys. Rev. D, 57, 712-724 (1998) · Zbl 0946.83058
[106] Buchdahl, Ha, Non-linear Lagrangians and cosmological theory, Mon. Not. R. Astron. Soc., 150, 1-8 (1970)
[107] Bustelo, Aj; Barraco, De, Hydrostatic equilibrium equation and Newtonian limit of the singular f(R) gravity, Class. Quantum Grav., 24, 2333-2342 (2007) · Zbl 1115.83025
[108] Cai, R-G; Cao, L-M, Unified first law and thermodynamics of apparent horizon in FRW universe, Phys. Rev. D, 75, 064008 (2007)
[109] Calcagni, G.; De Carlos, B.; De Felice, A., Ghost conditions for Gauss-Bonnet cosmologies, Nucl. Phys. B, 752, 404-438 (2006) · Zbl 1215.83043
[110] Calcagni, G.; Tsujikawa, S.; Sami, M., Dark energy and cosmological solutions in second-order string gravity, Class. Quantum Grav., 22, 3977-4006 (2005) · Zbl 1075.83552
[111] Caldwell, Rr; Dave, R.; Steinhardt, Pj, Cosmological Imprint of an Energy Component with General Equation of State, Phys. Rev. Lett., 80, 1582-1585 (1998) · Zbl 1371.83193
[112] Capone, M.; Ruggiero, Ml, Jumping from metric f(R) to scalar-tensor theories and the relations between post-Newtonian parameters, Class. Quantum Grav., 27, 125006 (2010) · Zbl 1190.83081
[113] Capozziello, S., Curvature Quintessence, Int. J. Mod. Phys. D, 11, 483-491 (2002) · Zbl 1062.83565
[114] Capozziello, S.; Cardone, Vf; Carloni, S.; Troisi, A., Curvature quintessence matched with observational data, Int. J. Mod. Phys. D, 12, 1969-1982 (2003)
[115] Capozziello, S.; Cardone, Vf; Carloni, S.; Troisi, A., Can higher order curvature theories explain rotation curves of galaxies?, Phys. Lett. A, 326, 292-296 (2004) · Zbl 1138.83380
[116] Capozziello, S.; Cardone, Vf; Francaviglia, M., f(R) theories of gravity in the Palatini approach matched with observations, Gen. Relativ. Gravit., 38, 711-734 (2006) · Zbl 1096.85017
[117] Capozziello, S.; Cardone, Vf; Troisi, A., Reconciling dark energy models with f(R) theories, Phys. Rev. D, 71, 043503 (2005)
[118] Capozziello, S.; Cardone, Vf; Troisi, A., Dark energy and dark matter as curvature effects?, J. Cosmol. Astropart. Phys., 2006, 8, 001 (2006)
[119] Capozziello, S.; Cardone, Vf; Troisi, A., Low surface brightness galaxy rotation curves in the low energy limit of R^n gravity: No need for dark matter?, Mon. Not. R. Astron. Soc., 375, 1423-1440 (2007)
[120] Capozziello, S.; Carloni, S.; Troisi, A., Quintessence without scalar fields, Recent Research Developments in Astronomy and Astrophysics 1, 625 (2003), Trivandrum, India: Research Signpost, Trivandrum, India
[121] Capozziello, S.; Cianci, R.; Stornaiolo, C.; Vignolo, S., f(R) gravity with torsion: the metric-affine approach, Class. Quantum Grav., 24, 6417-6430 (2007) · Zbl 1197.83087
[122] Capozziello, S.; Corda, C.; De Laurentis, Mf, Stochastic background of relic scalar gravitational waves from scalar-tensor gravity, Mod. Phys. Lett. A, 22, 2647-2655 (2007) · Zbl 1143.83004
[123] Capozziello, S.; Corda, C.; De Laurentis, Mf, Massive gravitational waves from f(R) theories of gravity: Potential detection with LISA, Phys. Lett. B, 669, 255-259 (2008)
[124] Capozziello, S.; De Felice, A., f(R) cosmology from Noether’s symmetry, J. Cosmol. Astropart. Phys., 2008, 8, 016 (2008)
[125] Capozziello, S.; De Ritis, R.; Rubano, C.; Scudellaro, P., Nöther symmetries in cosmology, Riv. Nuovo Cimento, 19, 1-114 (1996)
[126] Capozziello, S.; Francaviglia, M., Extended theories of gravity and their cosmological and astrophysical applications, Gen. Relativ. Gravit., 40, 357-420 (2008) · Zbl 1137.83302
[127] Capozziello, S.; Garattini, R., The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint, Class. Quantum Grav., 24, 1627-1645 (2007) · Zbl 1111.83049
[128] Capozziello, S.; Lambiase, G., Higher-order corrections to the effective gravitational action from Noether symmetry approach, Gen. Relativ. Gravit., 32, 295-311 (2000) · Zbl 0974.83036
[129] Capozziello, S.; Nesseris, S.; Perivolaropoulos, L., Reconstruction of the scalar-tensor Lagrangian from a ΛCDM background and Noether symmetry, J. Cosmol. Astropart. Phys., 2007, 12, 009 (2007)
[130] Capozziello, S.; Nojiri, S.; Odintsov, Sd; Troisi, A., Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase, Phys. Lett. B, 639, 135-143 (2006)
[131] Capozziello, S.; Occhionero, F.; Amendola, L., The Phase-Space View of Inflation II: Fourth-Order Models, Int. J. Mod. Phys. D, 1, 615-639 (1992) · Zbl 0942.83519
[132] Capozziello, S.; Piedipalumbo, E.; Rubano, C.; Scudellaro, P., Noether symmetry approach in phantom quintessence cosmology, Phys. Rev. D, 80, 104030 (2009)
[133] Capozziello, S.; Stabile, A.; Troisi, A., Newtonian limit of f(R) gravity, Phys. Rev. D, 76, 104019 (2007)
[134] Capozziello, S.; Tsujikawa, S., Solar system and equivalence principle constraints on f(R) gravity by chameleon approach, Phys. Rev. D, 77, 107501 (2008)
[135] Capozziello, S.; Vignolo, S., The Cauchy problem for metric-affine f(R)-gravity in presence of perfect-fluid matter, Class. Quantum Grav., 26, 175013 (2009) · Zbl 1176.83012
[136] Cardone, V.F., Diaferio, A. and Camera, S., “Constraining f(R) theories with Type Ia Supernovae and Gamma Ray Bursts”, arXiv e-print, (2009). [arXiv:0907.4689 [astro-ph.CO]]. (Cited on page 29.)
[137] Carloni, S.; Dunsby, Pks; Capozziello, S.; Troisi, A., Cosmological dynamics of R^n gravity, Class. Quantum Grav., 22, 4839-4868 (2005) · Zbl 1078.83032
[138] Carloni, S.; Dunsby, Pks; Troisi, A., Evolution of density perturbations in f(R) gravity, Phys. Rev. D, 77, 024024 (2008)
[139] Carloni, S.; Leach, Ja; Capozziello, S.; Dunsby, Pks, Cosmological dynamics of scalar-tensor gravity, Class. Quantum Grav., 25, 035008 (2008) · Zbl 1136.83336
[140] Carroll, Sm, Quintessence and the Rest of the World: Suppressing Long-Range Interactions, Phys. Rev. Lett., 81, 3067-3070 (1998)
[141] Carroll, S.M., “The Cosmological Constant”, Living Rev. Relativity, 4, lrr-2001-1, (2001). URL (accessed 25 February 2010): http://www.livingreviews.org/lrr-2001-1. (Cited on page 5.)
[142] Carroll, Sm; De Felice, A.; Duvvuri, V.; Easson, Da; Trodden, M.; Turner, Ms, The cosmology of generalized modified gravity models, Phys. Rev. D, 71, 063513 (2005)
[143] Carroll, Sm; Duvvuri, V.; Trodden, M.; Turner, Ms, Is cosmic speed-up due to new gravitational physics?, Phys. Rev. D, 70, 043528 (2004)
[144] Carroll, Sm; Harvey, Ja; Kostelecky, Va; Lane, Cd; Okamoto, T., Noncommutative field theory and Lorentz violation, Phys. Rev. Lett., 87, 141601 (2001)
[145] Carroll, Sm; Hoffman, M.; Trodden, M., Can the dark energy equation-of-state parameter be less than −1?, Phys. Rev. D, 68, 023509 (2003)
[146] Carroll, Sm; Sawicki, I.; Silvestri, A.; Trodden, M., Modified-source gravity and cosmological structure formation, New J. Phys., 8, 323 (2006)
[147] Cartier, C.; Copeland, Ej; Madden, R., The graceful exit in string cosmology, J. High Energy Phys., 2000, 1, 035 (2000) · Zbl 0990.83574
[148] Carvalho, Fc; Santos, Em; Alcaniz, Js; Santos, J., Cosmological constraints from the Hubble parameter on f(R) cosmologies, J. Cosmol. Astropart. Phys., 2008, 9, 008 (2008)
[149] Cembranos, Jar, The Newtonian limit at intermediate energies, Phys. Rev. D, 73, 064029 (2006)
[150] Cherubini, C.; Bini, D.; Capozziello, S.; Ruffini, R., Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes, Int. J. Mod. Phys. D, 11, 827-841 (2002) · Zbl 1070.83524
[151] Chiba, T., Quintessence, the gravitational constant, and gravity, Phys. Rev. D, 60, 083508 (1999)
[152] Chiba, T., 1/R gravity and scalar-tensor gravity, Phys. Lett. B, 575, 1-3 (2003) · Zbl 1029.83503
[153] Chiba, T., Generalized gravity and ghost, J. Cosmol. Astropart. Phys., 2005, 3, 008 (2005)
[154] Chiba, T.; Smith, Tl; Erickcek, Al, Solar System constraints to general f(R) gravity, Phys. Rev. D, 75, 124014 (2007)
[155] Chiba, T.; Sugiyama, N.; Nakamura, T., Cosmology with x-matter, Mon. Not. R. Astron. Soc., 289, L5-L9 (1997)
[156] Chiba, T.; Sugiyama, N.; Yokoyama, J., Imprints of the metrically coupled dilaton on density perturbations in inflationary cosmology, Nucl. Phys. B, 530, 304-324 (1998)
[157] Chirco, G.; Liberati, S., Nonequilibrium thermodynamics of spacetime: The role of gravitational dissipation, Phys. Rev. D, 81, 024016 (2010)
[158] Chow, N.; Khoury, J., Galileon Cosmology, Phys. Rev. D, 80, 024037 (2009)
[159] Clifton, T., Higher powers in gravitation, Phys. Rev. D, 78, 083501 (2008)
[160] Clifton, T.; Barrow, Jd, The Power of General Relativity, Phys. Rev. D, 72, 103005 (2005)
[161] Cline, Jm; Jeon, S.; Moore, Gd, The phantom menaced: Constraints on low-energy effective ghosts, Phys. Rev. D, 70, 043543 (2004)
[162] Clunan, T. and Sasaki, M., “Tensor ghosts in the inflationary cosmology”, arXiv e-print, (2009). [arXiv:0907.3868 [hep-th]]. (Cited on page 92.) · Zbl 1197.83114
[163] Codello, A.; Percacci, R., Fixed Points of Nonlinear Sigma Models in d > 2, Phys. Lett. B, 672, 280-283 (2009)
[164] Cognola, G.; Elizalde, E.; Nojiri, S.; Odintsov, Sd; Sebastiani, L.; Zerbini, S., A class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion, Phys. Rev. D, 77, 046009 (2008)
[165] Cognola, G.; Elizalde, E.; Nojiri, S.; Odintsov, S.; Zerbini, S., String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy, Phys. Rev. D, 75, 086002 (2007)
[166] Cognola, G.; Gastaldi, M.; Zerbini, S., On the Stability of a Class of Modified Gravitational Models, Int. J. Theor. Phys., 47, 898-910 (2008) · Zbl 1188.83073
[167] Cooney, A., DeDeo, S. and Psaltis, D., “Neutron Stars in f(R) Gravity with Perturbative Constraints”, arXiv e-print, (2009). [arXiv:0910.5480 [astro-ph.HE]]. (Cited on pages 7 and 83.)
[168] Cooper, F.; Venturi, G., Cosmology and broken scale invariance, Phys. Rev. D, 24, 3338-3340 (1981) · Zbl 1267.83112
[169] Cooray, A.; Sheth, Rk, Halo models of large scale structure, Phys. Rep., 372, 1-129 (2002) · Zbl 0999.85005
[170] Copeland, Ej; Liddle, Ar; Wands, D., Exponential potentials and cosmological scaling solutions, Phys. Rev. D, 57, 4686-4690 (1998)
[171] Copeland, Ej; Sami, M.; Tsujikawa, S., Dynamics of dark energy, Int. J. Mod. Phys. D, 15, 1753-1935 (2006) · Zbl 1203.83061
[172] Corda, C., The production of matter from curvature in a particular linearized high order theory of gravity and the longitudinal response function of interferometers, J. Cosmol. Astropart. Phys., 2007, 4, 009 (2007)
[173] Corda, C., Interferometric detection of gravitational waves: the definitive test for General Relativity, Int. J. Mod. Phys. D, 18, 2275-2282 (2009) · Zbl 1183.83033
[174] Corda, C., “A review of the stochastic background of gravitational waves in f(R) gravity with WMAP constrains”, arXiv e-print, (2009). [arXiv:0901.1193 [astro-ph]]. (Cited on page 63.)
[175] Damour, T.; Nordtvedt, K., Tensor-scalar cosmological models and their relaxation toward general relativity, Phys. Rev. D, 48, 3436-3450 (1993)
[176] Damour, T.; Piazza, F.; Veneziano, G., Runaway dilaton and equivalence principle violations, Phys. Rev. Lett., 89, 081601 (2002)
[177] Daniel, Sf; Caldwell, Rr; Cooray, A.; Melchiorri, A., Large scale structure as a probe of gravitational slip, Phys. Rev. D, 77, 103513 (2008)
[178] Davis, S.C., “Solar System Constraints on \(f({\mathcal G})\) Dark Energy”, arXiv e-print, (2007). [arXiv:0709.4453 [hep-th]]. (Cited on pages 7, 95, and 99.)
[179] Davoudiasl, H.; Kitano, R.; Kribs, Gd; Murayama, H.; Steinhardt, Pj, Gravitational baryogenesis, Phys. Rev. Lett., 93, 201301 (2004)
[180] De Felice, A.; Hindmarsh, M., Unsuccessful cosmology with modified gravity models, J. Cosmol. Astropart. Phys., 2007, 6, 028 (2007)
[181] De Felice, A.; Hindmarsh, M.; Trodden, M., Ghosts, instabilities, and superluminal propagation in modified gravity models, J. Cosmol. Astropart. Phys., 2006, 8, 005 (2006)
[182] De Felice, A., Mota, D.F. and Tsujikawa, S., “Matter instabilities in general Gauss-Bonnet gravity”, arXiv e-print, (2009). [arXiv:0911.1811 [gr-qc]]. (Cited on pages 7, 96, 97, and 101.) · Zbl 1189.83121
[183] De Felice, A.; Nasri, S.; Trodden, M., Quintessential baryogenesis, Phys. Rev. D, 67, 043509 (2003)
[184] De Felice, A.; Ringeval, C., Massive gravitons trapped inside a hypermonopole, Phys. Lett. B, 671, 158-161 (2009)
[185] De Felice, A.; Suyama, T., Scalar mode propagation in modified gravity with a scalar field, Phys. Rev. D, 80, 083523 (2009)
[186] De Felice, A.; Suyama, T., Vacuum structure for scalar cosmological perturbations in modified gravity models, J. Cosmol. Astropart. Phys., 2009, 6, 034 (2009)
[187] De Felice, A.; Trodden, M., Baryogenesis after hyperextended inflation, Phys. Rev. D, 72, 043512 (2005)
[188] De Felice, A.; Tsujikawa, S., Construction of cosmologically viable \(f({\mathcal G})\) gravity models, Phys. Lett. B, 675, 1-8 (2009)
[189] De Felice, A.; Tsujikawa, S., Solar system constraints on \(f({\mathcal G})\) gravity models, Phys. Rev. D, 80, 063516 (2009)
[190] De Felice, A. and Tsujikawa, S., “Generalized Brans-Dicke theories”, arXiv e-print, (2010). [arXiv:1005.0868 [astro-ph.CO]]. (Cited on pages 117 and 119.) · Zbl 1215.83005
[191] De La Cruz-Dombriz, Á.; Dobado, A., f(R) gravity without a cosmological constant, Phys. Rev. D, 74, 087501 (2006)
[192] De La Cruz-Dombriz, A.; Dobado, A.; Maroto, Al, Evolution of density perturbations in f(R) theories of gravity, Phys. Rev. D, 77, 123515 (2008)
[193] De La Cruz-Dombriz, A.; Dobado, A.; Maroto, Al, Black Holes in f(R) theories, Phys. Rev. D, 80, 124011 (2009)
[194] De La Cruz-Dombriz, A.; Dobado, A.; Maroto, Al, Comment on ‘Viable singularity-free f(R) gravity without a cosmological constant’, Phys. Rev. Lett., 103, 179001 (2009)
[195] De La Macorra, A.; Piccinelli, G., Cosmological evolution of general scalar fields and quintessence, Phys. Rev. D, 61, 123503 (2000)
[196] De Laurentis, M., Capozziello, S. and Izzo, L., “Stochastic background of gravitational waves ‘tuned’ by f(R) gravity”, arXiv e-print, (2009). [arXiv:0902.3153 [gr-qc]]. (Cited on page 63.) · Zbl 1117.83034
[197] De Rham, C.; Dvali, G.; Hofmann, S.; Khoury, J.; Pujolas, O.; Redi, M.; Tolley, Aj, Cascading gravity: Extending the Dvali-Gabadadze-Porrati model to higher dimension, Phys. Rev. Lett., 100, 251603 (2008) · Zbl 1228.83156
[198] De Souza, Jcc; Faraoni, V., The phase-space view of f(R) gravity, Class. Quantum Grav., 24, 3637-3648 (2007) · Zbl 1206.83131
[199] De Souza, Rc; Kremer, Gm, Noether symmetry for non-minimally coupled fermion fields, Class. Quantum Grav., 25, 225006 (2008) · Zbl 1152.83433
[200] De Souza, Rc; Kremer, Gm, Constraining non-minimally coupled tachyon fields by the Noether symmetry, Class. Quantum Grav., 26, 135008 (2009) · Zbl 1171.83318
[201] Deffayet, C., Cosmology on a brane in Minkowski bulk, Phys. Lett. B, 502, 199-208 (2001) · Zbl 0977.83103
[202] Deffayet, C.; Deser, S.; Esposito-Farèse, G., Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stresstensors, Phys. Rev. D, 80, 064015 (2009)
[203] Deffayet, C.; Dvali, G.; Gabadadze, G., Accelerated universe from gravity leaking to extra dimensions, Phys. Rev. D, 65, 044023 (2002)
[204] Deffayet, C.; Dvali, G.; Gabadadze, G.; Vainshtein, Ai, Nonperturbative continuity in graviton mass versus perturbative discontinuity, Phys. Rev. D, 65, 044026 (2002)
[205] Deffayet, C.; Esposito-Farèse, G.; Vikman, A., Covariant Galileon, Phys. Rev. D, 79, 084003 (2009)
[206] Deruelle, N.; Sasaki, M.; Sendouda, Y., ‘Detuned’ f(R) gravity and dark energy, Phys. Rev. D, 77, 124024 (2008)
[207] Deruelle, N.; Sasaki, M.; Sendouda, Y., Junction Conditions in f(R) Theories of Gravity, Prog. Theor. Phys., 119, 237-251 (2008) · Zbl 1152.83019
[208] Deruelle, N.; Sasaki, M.; Sendouda, Y.; Yamauchi, D., Hamiltonian formulation of f(Riemann) theories of gravity, Prog. Theor. Phys., 123, 169-185 (2010) · Zbl 1186.83138
[209] Deruelle, N.; Sendouda, Y.; Youssef, A., Various Hamiltonian formulations of f(R) gravity and their canonical relationships, Phys. Rev. D, 80, 084032 (2009)
[210] Dev, A.; Jain, D.; Jhingan, S.; Nojiri, S.; Sami, M.; Thongkool, I., Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters, Phys. Rev. D, 78, 083515 (2008)
[211] Di Porto, C.; Amendola, L., Observational constraints on the linear fluctuation growth rate, Phys. Rev. D, 77, 083508 (2008)
[212] Dick, R., Letter: On the Newtonian limit in gravity models with inverse powers of R, Gen. Relativ. Gravit., 36, 217-224 (2004) · Zbl 1036.83021
[213] Dicke, Rh, Mach’s Principle and Invariance under Transformation of Units, Phys. Rev., 125, 2163-2167 (1962) · Zbl 0113.45101
[214] Dodelson, S., Modern Cosmology (2003), London; Burlington, MA: Academic Press, London; Burlington, MA
[215] Dolgov, Ad; Kawasaki, M., Can modified gravity explain accelerated cosmic expansion?, Phys. Lett. B, 573, 1-4 (2003) · Zbl 1037.83028
[216] Domínguez, Ae; Barraco, De, Newtonian limit of the singular f(R) gravity in the Palatini formalism, Phys. Rev. D, 70, 043505 (2004)
[217] Durrer, R. and Maartens, R., “Dark Energy and Modified Gravity”, arXiv e-print, (2008). [arXiv:0811.4132 [astro-ph]]. (Cited on page 8.) · Zbl 1137.83303
[218] Dvali, G., Predictive power of strong coupling in theories with large distance modified gravity, New J. Phys., 8, 326 (2006)
[219] Dvali, Gr; Gabadadze, G., Gravity on a brane in infinite-volume extra space, Phys. Rev. D, 63, 065007 (2001)
[220] Dvali, Gr; Gabadadze, G.; Porrati, M., 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B, 485, 208-214 (2000) · Zbl 0961.83045
[221] Dvali, G. and Turner, M.S., “Dark energy as a modification of the Friedmann equation”, arXiv e-print, (2003). [astro-ph/0301510]. (Cited on page 115.)
[222] Dyer, E.; Hinterbichler, K., Boundary terms, variational principles, and higher derivative modified gravity, Phys. Rev. D, 79, 024028 (2009) · Zbl 1222.83142
[223] Easson, Da, Modified gravitational theories and cosmic acceleration, Int. J. Mod. Phys. A, 19, 5343-5350 (2004) · Zbl 1067.83560
[224] Easther, R.; Maeda, Ki, One-loop superstring cosmology and the nonsingular universe, Phys. Rev. D, 54, 7252-7260 (1996)
[225] Einstein, A., Die Feldgleichungen der Gravitation, Sitzungsber. K. Preuss. Akad. Wiss., Phys.-Math. Kl., 1915, 844-847 (1915) · JFM 45.1120.02
[226] Einstein, A., Die Grundlage der allgemeinen Relativitätstheorie, Ann. Phys. (Leipzig), 49, 769-822 (1916) · JFM 46.1293.01
[227] Eisenstein, Dj; , Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies, Astrophys. J., 633, 560-574 (2005)
[228] Eling, C.; Guedens, R.; Jacobson, T., Nonequilibrium Thermodynamics of Spacetime, Phys. Rev. Lett., 96, 121301 (2006)
[229] Elizalde, E.; Myrzakulov, R.; Obukhov, Vv; Sáez-Gómez, D., ΛCDM epoch reconstruction from F(R, G) and modified Gauss-Bonnet gravities, Class. Quantum Grav., 27, 095007 (2010) · Zbl 1190.83114
[230] Elizalde, E.; Silva, Pj, f(R) gravity equation of state, Phys. Rev. D, 78, 061501 (2008)
[231] Ellis, Gfr; Bruni, M., Covariant and gauge-invariant approach to cosmological density fluctuations, Phys. Rev. D, 40, 1804-1818 (1989)
[232] Ellis, Gfr; Bruni, M.; Hwang, J., Density-gradient-vorticity relation in perfect-fluid Robertson-Walker perturbations, Phys. Rev. D, 42, 1035-1046 (1990)
[233] Erickcek, Al; Smith, Tl; Kamionkowski, M., Solar system tests do rule out 1/R gravity, Phys. Rev. D, 74, 121501 (2006)
[234] Esposito-Farèse, G.; Polarski, D., Scalar-tensor gravity in an accelerating universe, Phys. Rev. D, 63, 063504 (2001)
[235] Evans, Jd; Hall, Lmh; Caillol, P., Standard cosmological evolution in a wide range of f(R) models, Phys. Rev. D, 77, 083514 (2008)
[236] Exirifard, Q.; Sheikh-Jabbari, Mm, Lovelock gravity at the crossroads of Palatini and metric formulations, Phys. Lett. B, 661, 158-161 (2008) · Zbl 1246.83167
[237] Ezawa, Y.; Kajihara, M.; Kiminami, M.; Soda, J.; Yano, T., A canonical formalism for a higher-curvature gravity, Class. Quantum Grav., 16, 1127-1135 (1999) · Zbl 0938.83001
[238] Fairbairn, M.; Goobar, A., Supernova limits on brane world cosmology, Phys. Lett. B, 642, 432-435 (2006)
[239] Fairbairn, M.; Rydbeck, S., Expansion history and f(R) modified gravity, J. Cosmol. Astropart. Phys., 2007, 12, 005 (2007)
[240] Fakir, R.; Habib, S.; Unruh, W., Cosmological density perturbations with modified gravity, Astrophys. J., 394, 396-400 (1992)
[241] Fakir, R.; Unruh, Wg, Improvement on cosmological chaotic inflation through nonminimal coupling, Phys. Rev. D, 41, 1783-1791 (1990)
[242] Faraoni, V., de Sitter attractors in generalized gravity, Phys. Rev. D, 70, 044037 (2004)
[243] Faraoni, V., Modified gravity and the stability of de Sitter space, Phys. Rev. D, 72, 061501 (2005)
[244] Faraoni, V., Matter instability in modified gravity, Phys. Rev. D, 74, 104017 (2006)
[245] Faraoni, V., Solar system experiments do not yet veto modified gravity models, Phys. Rev. D, 74, 023529 (2006)
[246] Faraoni, V., de Sitter space and the equivalence between f(R) and scalar-tensor gravity, Phys. Rev. D, 75, 067302 (2007)
[247] Faraoni, V., Palatini f(R) gravity as a fixed point, Phys. Lett. B, 665, 135-138 (2008) · Zbl 1328.83134
[248] Faraoni, V., The Lagrangian description of perfect fluids and modified gravity with an extra force, Phys. Rev. D, 80, 124040 (2009)
[249] Faraoni, V.; Gunzig, E.; Nardone, P., Conformal transformations in classical gravitational theories and in cosmology, Fundam. Cosmic Phys., 20, 121-175 (1999)
[250] Faraoni, V.; Nadeau, S., Stability of modified gravity models, Phys. Rev. D, 72, 124005 (2005)
[251] Faulkner, T.; Tegmark, M.; Bunn, Ef; Mao, Y., Constraining f(R) gravity as a scalar tensor theory, Phys. Rev. D, 76, 063505 (2007)
[252] Fay, S.; Nesseris, S.; Perivolaropoulos, L., Can f(R) modified gravity theories mimic a ΛCDM cosmology?, Phys. Rev. D, 76, 063504 (2007)
[253] Fay, S.; Tavakol, R.; Tsujikawa, S., f(R) gravity theories in Palatini formalism: Cosmological dynamics and observational constraints, Phys. Rev. D, 75, 063509 (2007)
[254] Felder, Gn; Kofman, L., The development of equilibrium after preheating, Phys. Rev. D, 63, 103503 (2001)
[255] Felder, G.N. and Tkachev, I., “LATTICEEASY: A program for lattice simulations of scalar fields in an expanding universe”, arXiv e-print, (2000). [hep-ph/0011159]. (Cited on page 23.) · Zbl 1196.83005
[256] Ferraris, M.; Francaviglia, M.; Volovich, I., The universality of vacuum Einstein equations with cosmological constant, Class. Quantum Grav., 11, 1505-1517 (1994) · Zbl 0810.53074
[257] Ferreira, Pg; Joyce, M., Structure formation with a self-tuning scalar field, Phys. Rev. Lett., 79, 4740-4743 (1997)
[258] Fierz, M., Über die relativistische Theorie kräafterfreier Teilchen mit beliebigem Spin, Helv. Phys. Acta, 12, 3-37 (1939) · JFM 65.1530.03
[259] Fierz, M.; Pauli, W., On Relativistic Wave Equations for Particles of Arbitrary Spin in an Electromagnetic Field, Proc. R. Soc. London, Ser. A, 173, 211-232 (1939) · JFM 65.1532.01
[260] Flanagan, Éé, The conformal frame freedom in theories of gravitation, Class. Quantum Grav., 21, 3817-3829 (2004) · Zbl 1070.83023
[261] Flanagan, Éé, Higher-order gravity theories and scalar-tensor theories, Class. Quantum Grav., 21, 417-426 (2004) · Zbl 1050.83024
[262] Flanagan, Éé, Palatini Form of 1/R gravity, Phys. Rev. Lett., 92, 071101 (2004) · Zbl 1267.83088
[263] Ford, Lh, Cosmological-constant damping by unstable scalar fields, Phys. Rev. D, 35, 2339-2344 (1987)
[264] Freedman, Wl; , Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant, Astrophys. J., 553, 47-72 (2001)
[265] Frigerio Martins, C.; Salucci, P., Analysis of rotation curves in the framework of R^n gravity, Mon. Not. R. Astron. Soc., 381, 1103-1108 (2007)
[266] Frolov, Av, A Singularity Problem with f(R) Dark Energy, Phys. Rev. Lett., 101, 061103 (2008) · Zbl 1228.83128
[267] Fujii, Y., Origin of the gravitational constant and particle masses in a scale-invariant scalar-tensor theory, Phys. Rev. D, 26, 2580-2588 (1982)
[268] Fujii, Y.; Maeda, K-I, The Scalar-Tensor Theory of Gravitation (2003), Cambridge; New York: Cambridge University Press, Cambridge; New York · Zbl 1079.83023
[269] Futamase, T.; Maeda, K-I, Chaotic inflationary scenario of the Universe with a non-minimally coupled ‘inflaton’ field, Phys. Rev. D, 39, 399-404 (1989)
[270] Gannouji, R.; Moraes, B.; Polarski, D., The growth of matter perturbations in f(R) models, J. Cosmol. Astropart. Phys., 2009, 2, 034 (2009)
[271] Gannouji, R.; Polarski, D.; Ranquet, A.; Starobinsky, Aa, Scalar-tensor models of normal and phantom dark energy, J. Cosmol. Astropart. Phys., 2006, 9, 016 (2006)
[272] García-Bellido, J.; Wands, D., Constraints from inflation on scalar-tensor gravity theories, Phys. Rev. D, 52, 6739-6749 (1995)
[273] Gasperini, M.; Maggiore, M.; Veneziano, G., Towards a non-singular pre-big-bang cosmology, Nucl. Phys. B, 494, 315-328 (1997) · Zbl 0939.83054
[274] Gasperini, M.; Piazza, F.; Veneziano, G., Quintessence as a runaway dilaton, Phys. Rev. D, 65, 023508 (2002)
[275] Gasperini, M.; Veneziano, G., Pre-big-bang in string cosmology, Astropart. Phys., 1, 317-339 (1993)
[276] Gasperini, M.; Veneziano, G., The pre-big bang scenario in string cosmology, Phys. Rep., 373, 1-212 (2003)
[277] Gérard, J-M, The strong equivalence principle from a gravitational gauge structure, Class. Quantum Grav., 24, 1867-1877 (2007) · Zbl 1112.83307
[278] Gironés, Z., Marchetti, A., Mena, O., Peña Garay, C. and Rius, N., “Cosmological data analysis of f(R) gravity models”, arXiv e-print, (2009). [arXiv:0912.5474 [astro-ph.CO]]. (Cited on page 55.)
[279] Goheer, N.; Goswami, R.; Dunsby, Pks, Dynamics of f(R)-cosmologies containing Einstein static models, Class. Quantum Grav., 26, 105003 (2009) · Zbl 1166.83020
[280] Goheer, N.; Leach, Ja; Dunsby, Pks, Dynamical systems analysis of anisotropic cosmologies in R^n-gravity, Class. Quantum Grav., 24, 5689-5708 (2007) · Zbl 1148.83333
[281] Gong, Y.; Wang, A., The Friedmann equations and thermodynamics of apparent horizons, Phys. Rev. Lett., 99, 211301 (2007) · Zbl 1228.83067
[282] Gripaios, Bm, Modified gravity via spontaneous symmetry breaking, J. High Energy Phys., 2004, 10, 069 (2004)
[283] Gross, Dj; Sloan, Jh, The Quartic Effective Action for the Heterotic String, Nucl. Phys. B, 291, 41-89 (1987)
[284] Gross, Dj; Witten, E., Superstring Modifications of Einstein’s Equations, Nucl. Phys. B, 277, 1-10 (1986)
[285] Gruzinov, A., On the graviton mass, New Astronomy, 10, 311-314 (2005)
[286] Guarnizo, A., Castaneda, L. and Tejeiro, J.M., “Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism”, arXiv e-print, (2010). [arXiv:1002.0617 [gr-qc]]. (Cited on page 112.) · Zbl 1203.83040
[287] Günther, U.; Moniz, P.; Zhuk, A., Asymptotical AdS space from nonlinear gravitational models with stabilized extra dimensions, Phys. Rev. D, 66, 044014 (2002)
[288] Günther, U.; Zhuk, A.; Bezerra, Vb; Romero, C., AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R^−1 and R^4, Class. Quantum Grav., 22, 3135-3167 (2005) · Zbl 1081.83027
[289] Gunzig, E.; Faraoni, V.; Figueiredo, A.; Rocha Filho, Tm; Brenig, L., The dynamical system approach to scalar field cosmology, Class. Quantum Grav., 17, 1783-1814 (2000) · Zbl 0957.83045
[290] Guo, Z-K; Ohta, N.; Tsujikawa, S., Realizing scale-invariant density perturbations in low-energy effective string theory, Phys. Rev. D, 75, 023520 (2007)
[291] Guth, Ah, The inflationary universe: A possible solution to the horizon and flatness problems, Phys. Rev. D, 23, 347-356 (1981) · Zbl 1371.83202
[292] Guzik, J.; Jain, B.; Takada, M., Tests of gravity from imaging and spectroscopic surveys, Phys. Rev. D, 81, 023503 (2010)
[293] Hawking, Sw, Particle creation by black holes, Commun. Math. Phys., 43, 199-220 (1975) · Zbl 1378.83040
[294] Hawking, Sw; Hertog, T., Living with ghosts, Phys. Rev. D, 65, 103515 (2002)
[295] Hawking, Sw; Luttrell, Jc, Higher Derivatives In Quantum Cosmology: (I). The Isotropic Case, Nucl. Phys. B, 247, 250-260 (1984)
[296] Hayward, Sa, General laws of black-hole dynamics, Phys. Rev. D, 49, 6467-6474 (1994)
[297] Hayward, Sa, Unified first law of black-hole dynamics and relativistic thermodynamics, Class. Quantum Grav., 15, 3147-3162 (1998) · Zbl 0942.83040
[298] Hayward, Sa; Mukohyama, S.; Ashworth, Mc, Dynamic black-hole entropy, Phys. Lett. A, 256, 347-350 (1999)
[299] Hehl, Fw; Kerlick, Gd, Metric-affine variational principles in general relativity. I. Riemannian space-time, Gen. Relativ. Gravit., 9, 691-710 (1978) · Zbl 0412.53034
[300] Henttunen, K.; Multamäki, T.; Vilja, I., Stellar configurations in f(R) theories of gravity, Phys. Rev. D, 77, 024040 (2008)
[301] Hilbert, D., Die Grundlagen der Physik (Erste Mitteilung.), Nachr. Koenigl. Gesellsch. Wiss. Goettingen, Math.-Phys. Kl., 1915, 395-407 (1915) · JFM 45.1111.01
[302] Hindawi, A.; Ovrut, Ba; Waldram, D., Consistent Spin-Two Coupling and Quadratic Gravitation, Phys. Rev. D, 53, 5583-5596 (1996)
[303] Hindawi, A.; Ovrut, Ba; Waldram, D., Nontrivial vacua in higher-derivative gravitation, Phys. Rev. D, 53, 5597-5608 (1996)
[304] Hinterbichler, K.; Nicolis, A.; Porrati, M., Superluminality in DGP, J. High Energy Phys., 2009, 9, 089 (2009)
[305] Hořava, P., Quantum gravity at a Lifshitz point, Phys. Rev. D, 79, 084008 (2009)
[306] Hu, W.; Sawicki, I., Models of f(R) Cosmic Acceleration that Evade Solar-System Tests, Phys. Rev. D, 76, 064004 (2007)
[307] Hu, W.; Sawicki, I., Parametrized post-Friedmann framework for modified gravity, Phys. Rev. D, 76, 104043 (2007)
[308] Hu, W.; Sugiyama, N., Anisotropies in the cosmic microwave background: An analytic approach, Astrophys. J., 444, 489-506 (1995)
[309] Hui, L.; Nicolis, A.; Stubbs, Cw, Equivalence principle implications of modified gravity models, Phys. Rev. D, 80, 104002 (2009)
[310] Huterer, D.; Turner, Ms, Prospects for probing the dark energy via supernova distance measurements, Phys. Rev. D, 60, 081301 (1999)
[311] Hwang, Jc, Quantum fluctuations of cosmological perturbations in generalized gravity, Class. Quantum Grav., 14, 3327-3336 (1997) · Zbl 0904.53066
[312] Hwang, J-C, Cosmological perturbations in generalized gravity theories: Formulation, Class. Quantum Grav., 7, 1613-1631 (1990)
[313] Hwang, J-C, Cosmological perturbations in generalized gravity theories: Inflationary spectrum, Class. Quantum Grav., 8, 195-202 (1991)
[314] Hwang, J-C; Noh, H., Cosmological perturbations in generalized gravity theories, Phys. Rev., 54, 1460-1473 (1996)
[315] Hwang, J-C; Noh, H., f(R) gravity theory and CMBR constraints, Phys. Lett. B, 506, 13-19 (2001)
[316] Hwang, J-C; Noh, H., Gauge-ready formulation of the cosmological kinetic theory in generalized gravity theories, Phys. Rev. D, 65, 023512 (2001)
[317] Hwang, J-C; Noh, H., Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyons: Unified analyses, Phys. Rev. D, 71, 063536 (2005)
[318] Iglesias, A.; Kaloper, N.; Padilla, A.; Park, M., How (not) to use the Palatini formulation of scalar-tensor gravity, Phys. Rev. D, 76, 104001 (2007)
[319] Iorio, L.; Ruggiero, Ml, Constraining models of modified gravity with the double pulsar PSR J0737-3039A/B system, Int. J. Mod. Phys. A, 22, 5379-5389 (2007)
[320] Ishak, M.; Hirata, Cm; Mcdonald, P.; Seljak, U., Weak Lensing and CMB: Parameter forecasts including a running spectral index, Phys. Rev. D, 69, 083514 (2004)
[321] Ishak, M.; Moldenhauer, J., A minimal set of invariants as a systematic approach to higher order gravity models, J. Cosmol. Astropart. Phys., 2009, 1, 024 (2009)
[322] Ishak, M.; Upadhye, A.; Spergel, Dn, Probing cosmic acceleration beyond the equation of state: Distinguishing between dark energy and modified gravity models, Phys. Rev. D, 74, 043513 (2006)
[323] Israel, W., Singular hypersurfaces and thin shells in general relativity, Nuovo Cimento B, 44, 1-14 (1966)
[324] Jacobson, T., Thermodynamics of Spacetime: The Einstein Equation of State, Phys. Rev. Lett., 75, 1260-1263 (1995) · Zbl 1020.83609
[325] Jacobson, T.; Mattingly, D., Gravity with a dynamical preferred frame, Phys. Rev. D, 64, 024028 (2001)
[326] Jain, B.; Zhang, P., Observational tests of modified gravity, Phys. Rev. D, 78, 063503 (2008)
[327] Järv, L.; Kuusk, P.; Saal, M., Scalar-tensor cosmologies: Fixed points of the Jordan frame scalar field, Phys. Rev. D, 78, 083530 (2008)
[328] Ji, X-D; Wang, T., Curvature and entropy perturbations in generalized gravity, Phys. Rev. D, 79, 103525 (2009)
[329] Jin, X.-H., Liu, D.-J. and Li, X.-Z., “Solar System tests disfavor f(R) gravities”, arXiv e-print, (2006). [astro-ph/0610854]. (Cited on page 30.)
[330] Kainulainen, K.; Piilonen, J.; Reijonen, V.; Sunhede, D., Spherically symmetric spacetimes in f(R) gravity theories, Phys. Rev. D, 76, 024020 (2007) · Zbl 1222.83143
[331] Kainulainen, K.; Reijonen, V.; Sunhede, D., Interior spacetimes of stars in Palatini f(R) gravity, Phys. Rev. D, 76, 043503 (2007)
[332] Kainulainen, K.; Sunhede, D., Stability of spherically symmetric spacetimes in metric f(R) gravity, Phys. Rev. D, 78, 063511 (2008)
[333] Kaloper, N., Brane Induced Gravity: Codimension-2, Mod. Phys. Lett. A, 23, 781-796 (2008) · Zbl 1192.83057
[334] Kaloper, N.; Kiley, D., Charting the landscape of modified gravity, J. High Energy Phys., 2007, 5, 045 (2007)
[335] Kamionkowski, M.; Buchalter, A., Weakly nonlinear clustering for arbitrary expansion histories, Astrophys. J., 514, 7-11 (1999)
[336] Kanti, P.; Rizos, J.; Tamvakis, K., Singularity-free cosmological solutions in quadratic gravity, Phys. Rev. D, 59, 083512 (1999)
[337] Kawai, S.; Sakagami, M.; Soda, J., Instability of 1-loop superstring cosmology, Phys. Lett. B, 437, 284 (1998)
[338] Kawai, S.; Soda, J., Nonsingular Bianchi type I cosmological solutions from 1-loop superstring effective action, Phys. Rev. D, 59, 063506 (1999)
[339] Kazanas, D., Dynamics Of The Universe And Spontaneous Symmetry Breaking, Astrophys. J., 241, L59-L63 (1980)
[340] Kazanas, D.; Mannheim, Pd, General structure of the gravitational equations of motion in conformal Weyl gravity, Astrophys. J. Suppl. Ser., 76, 431-453 (1991)
[341] Ketov, Sv, Scalar potential in F(R) supergravity, Class. Quantum Grav., 26, 135006 (2009) · Zbl 1171.83369
[342] Khlebnikov, Sy; Tkachev, I., Resonant Decay of Cosmological Bose Condensates, Phys. Rev. Lett., 79, 1607-1610 (1997)
[343] Khoury, J.; Weltman, A., Chameleon Cosmology, Phys. Rev. D, 69, 044026 (2004)
[344] Khoury, J.; Weltman, A., Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space, Phys. Rev. Lett., 93, 171104 (2004)
[345] Klinkhamer, Fr; Volovik, Ge, f(R) Cosmology from q-Theory, J. Exp. Theor. Phys. Lett., 88, 289-294 (2008)
[346] Klusoň, J., Hořava-Lifshitz f(R) gravity, J. High Energy Phys., 2009, 11, 078 (2009)
[347] Klusoň, J., New models of f(R) theories of gravity, Phys. Rev., 81, 064028 (2010)
[348] Knox, L.; Song, Y-S; Tyson, Ja, Distance-redshift and growth-redshift relations as two windows on acceleration and gravitation: Dark energy or new gravity?, Phys. Rev. D, 74, 023512 (2006)
[349] Kobayashi, T.; Maeda, K., Relativistic stars in f(R) gravity, and absence thereof, Phys. Rev. D, 78, 064019 (2008)
[350] Kobayashi, T.; Maeda, K., Can higher curvature corrections cure the singularity problem in f(R) gravity?, Phys. Rev. D, 79, 024009 (2009)
[351] Kobayashi, T.; Tashiro, H.; Suzuki, D., Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity, Phys. Rev. D, 81, 063513 (2010)
[352] Kodama, H.; Sasaki, M., Cosmological Perturbation Theory, Prog. Theor. Phys. Suppl., 78, 1-166 (1984)
[353] Kofman, L.; Linde, Ad; Starobinsky, Aa, Reheating after inflation, Phys. Rev. Lett., 73, 3195-3198 (1994)
[354] Kofman, L.; Linde, Ad; Starobinsky, Aa, Towards the theory of reheating after inflation, Phys. Rev. D, 56, 3258-3295 (1997)
[355] Kofman, La; Mukhanov, Vf; Pogosian, Dy, Evolution of inhomogeneities in inflationary models in a theory of gravitation with higher derivatives, Sov. Phys. JETP, 66, 433 (1987)
[356] Koivisto, T., Matter power spectrum in f(R) gravity, Phys. Rev. D, 73, 083517 (2006)
[357] Koivisto, T., A note on covariant conservation of energy-momentum in modified gravities, Class. Quantum Grav., 23, 4289-4296 (2006) · Zbl 1096.83056
[358] Koivisto, T., Viable Palatini-f(R) cosmologies with generalized dark matter, Phys. Rev. D, 76, 043527 (2007)
[359] Koivisto, T.; Kurki-Suonio, H., Cosmological perturbations in the Palatini formulation of modified gravity, Class. Quantum Grav., 23, 2355-2369 (2006) · Zbl 1102.83018
[360] Koivisto, T.; Mota, Df, Cosmology and astrophysical constraints of Gauss-Bonnet dark energy, Phys. Lett. B, 644, 104-108 (2007) · Zbl 1248.83164
[361] Koivisto, T.; Mota, Df, Gauss-Bonnet quintessence: Background evolution, large scale structure, and cosmological constraints, Phys. Rev. D, 75, 023518 (2007)
[362] Kolanović, M., Gravity induced over a smooth soliton, Phys. Rev. D, 67, 106002 (2003)
[363] Kolanovic, M.; Porrati, M.; Rombouts, J-W, Regularization of brane induced gravity, Phys. Rev. D, 68, 064018 (2003)
[364] Kolb, Ew; Turner, Ms, The Early Universe (1990), Reading, MA: Addison-Wesley, Reading, MA · Zbl 0984.83503
[365] Kolda, Cf; Lyth, Dh, Quintessential difficulties, Phys. Lett. B, 458, 197-201 (1999)
[366] Komatsu, E.; Futamase, T., Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background, Phys. Rev. D, 59, 064029 (1999)
[367] Komatsu, E.; , Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations:Cosmological Interpretation, Astrophys. J. Suppl. Ser., 180, 330-376 (2009)
[368] Kowalski, M.; , Improved cosmological constraints from new, old and combined supernova data sets, Astrophys. J., 686, 749-778 (2008)
[369] Koyama, K.; Maartens, R., Structure formation in the Dvali-Gabadadze-Porrati cosmological model, J. Cosmol. Astropart. Phys., 2006, 1, 016 (2006) · Zbl 1236.83015
[370] Koyama, K.; Silva, Fp, Nonlinear interactions in a cosmological background in the Dvali-Gabadadze-Porrati braneworld, Phys. Rev. D, 75, 084040 (2007)
[371] Koyama, K.; Taruya, A.; Hiramatsu, T., Nonlinear evolution of the matter power spectrum in modified theories of gravity, Phys. Rev. D, 79, 123512 (2009)
[372] Kretschmann, E., Über den physikalischen Sinn der Relativitätspostulate, A. Einsteins neue und seine ursprüngliche Relativitätstheorie, Ann. Phys. (Leipzig), 53, 16, 575-614 (1917) · JFM 46.1292.01
[373] Kunz, M.; Sapone, D., Dark energy versus modified gravity, Phys. Rev. Lett., 98, 121301 (2007)
[374] La, D.; Steinhardt, Pj, Extended Inflationary Cosmology, Phys. Rev. Lett., 62, 376-378 (1989)
[375] La, D.; Steinhardt, Pj; Bertschinger, Ew, Prescription for successful extended inflation, Phys. Lett. B, 231, 231-236 (1989)
[376] Lambiase, G.; Scarpetta, G., Baryogenesis in f(R) theories of gravity, Phys. Rev. D, 74, 087504 (2006)
[377] Lanahan-Tremblay, N.; Faraoni, V., The Cauchy problem of f(R) gravity, Class. Quantum Grav., 24, 5667-5679 (2007) · Zbl 1148.83018
[378] Lanczos, C., A Remarkable Property of the Riemann-Christoffel Tensor in Four Dimensions, Ann. Math., 39, 842-850 (1938) · JFM 64.0767.03
[379] Laszlo, I.; Bean, R., Nonlinear growth in modified gravity theories of dark energy, Phys. Rev. D, 77, 024048 (2008)
[380] Lee, S., Palatini f(R) Cosmology, Mod. Phys. Lett. A, 23, 1388-1396 (2008) · Zbl 1192.83086
[381] Leith, Bm; Neupane, Ip, Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy, J. Cosmol. Astropart. Phys., 2007, 5, 019 (2007)
[382] Li, B.; Barrow, Jd, The Cosmology of f(R) Gravity in the Metric Variational Approach, Phys. Rev. D, 75, 084010 (2007)
[383] Li, B.; Barrow, Jd; Mota, Df, The Cosmology of Modified Gauss-Bonnet Gravity, Phys. Rev. D, 76, 044027 (2007)
[384] Li, B.; Barrow, Jd; Mota, Df, The cosmology of Ricci-tensor-squared gravity in the Palatini variational approach, Phys. Rev. D, 76, 104047 (2007)
[385] Li, B.; Chan, Kc; Chu, M-C, Constraints on f(R) Cosmology in the Palatini Formalism, Phys. Rev. D, 76, 024002 (2007) · Zbl 1222.83195
[386] Li, B.; Chu, M-C, CMB and matter power spectra of early f(R) cosmology in the Palatini formulation, Phys. Rev. D, 74, 104010 (2006)
[387] Li, B.; Mota, Df; Shaw, Dj, Microscopic and macroscopic behaviors of Palatini modified gravity theories, Phys. Rev. D, 78, 064018 (2008)
[388] Li, B.; Mota, Df; Shaw, Dj, Indistinguishable macroscopic behaviour of Palatini gravities and general relativity, Class. Quantum Grav., 26, 055018 (2009) · Zbl 1160.83347
[389] Libanov, M.; Rubakov, V.; Papantonopoulos, E.; Sami, M.; Tsujikawa, S., Ultraviolet stable, Lorentz-violating dark energy with transient phantom era, J. Cosmol. Astropart. Phys., 2007, 8, 010 (2007)
[390] Liddle, Ar; Lyth, Dh, Cobe, Gravitational Waves, Inflation And Extended Inflation, Phys. Lett. B, 291, 391-398 (1992)
[391] Liddle, Ar; Lyth, Dh, Cosmological inflation and Large-Scale Structure (2000), Cambridge; New York: Cambridge University Press, Cambridge; New York
[392] Liddle, Ar; Ureña López, La, Inflation, dark matter, and dark energy in the string landscape, Phys. Rev. Lett., 97, 161301 (2006) · Zbl 1228.83137
[393] Linde, Ad, Chaotic Inflation, Phys. Lett. B, 129, 177-181 (1983)
[394] Linde, A., Eternal extended inflation and graceful exit from old inflation without Jordan-Brans-Dicke, Phys. Lett. B, 249, 18-26 (1990)
[395] Linder, Ev, Cosmic growth history and expansion history, Phys. Rev. D, 72, 043529 (2005)
[396] Linder, Ev, Exponential gravity, Phys. Rev. D, 80, 123528 (2009)
[397] Lobo, F.S.N., “The dark side of gravity: Modified theories of gravity”, arXiv e-print, (2008). [arXiv:0807.1640 [gr-qc]]. (Cited on page 8.)
[398] Lobo, Fsn; Oliveira, Ma, Wormhole geometries in f(R) modified theories of gravity, Phys. Rev. D, 80, 104012 (2009)
[399] Lovelock, D., The Einstein tensor and its generalizations, J. Math. Phys., 12, 498-501 (1971) · Zbl 0213.48801
[400] Lue, A.; Scoccimarro, R.; Starkman, Gd, Probing Newton’s constant on vast scales: Dvali-Gabadadze-Porrati gravity, cosmic acceleration, and large scale structure, Phys. Rev. D, 69, 124015 (2004)
[401] Luty, Ma; Porrati, M.; Rattazzi, R., Strong interactions and stability in the DGP model, J. High Energy Phys., 2003, 9, 029 (2003)
[402] Lyth, Dh; Riotto, A., Particle physics models of inflation and the cosmological density perturbation, Phys. Rep., 314, 1-146 (1999)
[403] Ma, C-P; Caldwell, Rr; Bode, P.; Wang, L., The mass power spectrum in quintessence cosmological models, Astrophys. J., 521, L1-L4 (1999)
[404] Maartens, R., “Brane-World Gravity”, Living Rev. Relativity, 7, lrr-2004-7, (2004). URL (accessed 25 February 2010): http://www.livingreviews.org/lrr-2004-7. (Cited on page 111.)
[405] Maartens, R.; Majerotto, E., Observational constraints on self-accelerating cosmology, Phys. Rev. D, 74, 023004 (2006)
[406] Machado, Pf; Saueressig, F., On the renormalization group flow of f(R)-gravity, Phys. Rev. D, 77, 124045 (2008)
[407] Maeda, K-I, Inflation as a transient attractor in R^2 cosmology, Phys. Rev. D, 37, 858-862 (1988)
[408] Maeda, K-I, Towards the Einstein-Hilbert Action via Conformal Transformation, Phys. Rev. D, 39, 3159-3162 (1989)
[409] Maeda, K-I; Ohta, N., Inflation from M-theory with fourth-order corrections and large extra dimensions, Phys. Lett. B, 597, 400-407 (2004) · Zbl 1247.83285
[410] Magnano, G.; Sokolowski, Lm, Physical equivalence between nonlinear gravity theories and a general-relativistic self-gravitating scalar field, Phys. Rev. D, 50, 5039-5059 (1994)
[411] Makino, N.; Sasaki, M., The Density perturbation in the chaotic inflation with nonminimal coupling, Prog. Theor. Phys., 86, 103-118 (1991)
[412] Malik, Ka; Wands, D., Cosmological perturbations, Phys. Rep., 475, 1-51 (2009)
[413] Mannheim, Pd, Conformal cosmology with no cosmological constant, Gen. Relativ. Gravit., 22, 289-298 (1990) · Zbl 0693.53040
[414] Mannheim, Pd; Kazanas, D., Exact Vacuum Solution To Conformal Weyl Gravity And Galactic Rotation Curves, Astrophys. J., 342, 635-638 (1989)
[415] Marmo, G.; Saletan, E.; Simoni, A.; Vitale, B., Dynamical systems: a differential geometric approach to symmetry and reduction (1985), Chichester; New York: Wiley, Chichester; New York · Zbl 0592.58031
[416] Martin, J.; Schimd, C.; Uzan, J-P, Testing for w < −1 in the Solar System, Phys. Rev. Lett., 96, 061303 (2006)
[417] Martinelli, M.; Melchiorri, A.; Amendola, L., Cosmological constraints on the Hu-Sawicki modified gravity scenario, Phys. Rev. D, 79, 123516 (2009)
[418] Mcdonald, P., The linear theory power spectrum from the Lyα forest in the sloan digital sky survey, Astrophys. J., 635, 761-783 (2005)
[419] Mclachlan, Nw, Theory and Application of Mathieu Functions (1961), New York: Dover, New York
[420] Mena, O.; Santiago, J.; Weller, J., Constraining inverse-curvature gravity with supernovae, Phys. Rev. Lett., 96, 041103 (2006)
[421] Mendoza, S.; Rosas-Guevara, Ym, Gravitational waves and lensing of the metric theory proposed by Sobouti, Astron. Astrophys., 472, 367-371 (2007) · Zbl 1175.83028
[422] Meng, Xh; Wang, P., Modified Friedmann equations in R^−1-modified gravity, Class. Quantum Grav., 20, 4949-4961 (2003) · Zbl 1054.83026
[423] Meng, Xh; Wang, P., Cosmological evolution in 1/R-gravity theory, Class. Quantum Grav., 21, 951-959 (2004) · Zbl 1046.83029
[424] Meng, Xh; Wang, P., Palatini formulation of modified gravity with ln R terms, Phys. Lett. B, 584, 1-7 (2004)
[425] Metsaev, Rr; Tseytlin, Aa, Order alpha-prime (Two-Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor, Nucl. Phys. B, 293, 385-419 (1987)
[426] Mijić, Mb; Morris, Ms; Suen, W-M, The R^2 cosmology: Inflation without a phase transition, Phys. Rev. D, 34, 2934-2946 (1986)
[427] Miranda, V.; Jorás, Se; Waga, I.; Quartin, M., Viable singularity-free f(R) gravity without a cosmological constant, Phys. Rev. Lett., 102, 221101 (2009)
[428] Misner, Cw; Sharp, Dh, Relativistic equations for adiabatic, spherically symmetric gravitational collapse, Phys. Rev., 136, B571-B576 (1964) · Zbl 0129.41102
[429] Modak, B.; Ghose, A.; Bose, Rn, Noether symmetry in the higher order gravity theory, Gen. Relativ. Gravit., 37, 985-996 (2005) · Zbl 1077.83043
[430] Mohseni, M., Non-geodesic motion in \(f({\mathcal G})\) gravity with non-minimal coupling, Phys. Lett. B, 682, 89-92 (2009)
[431] Mohseni Sadjadi, H., Generalized second law in the modified theory of gravity, Phys. Rev. D, 76, 104024 (2007)
[432] Moldenhauer, J.; Ishak, M., A minimal set of invariants as a systematic approach to higher order gravity models: physical and cosmological constraints, J. Cosmol. Astropart. Phys., 2009, 12, 020 (2009)
[433] Morandi, G.; Ferrario, C.; Lo Vecchio, G.; Marmo, G.; Rubano, C., The inverse problem in the calculus of variations and the geometry of the tangent bundle, Phys. Rep., 188, 147-284 (1990) · Zbl 1211.58008
[434] Motohashi, H.; Starobinsky, Aa; Yokoyama, J., Analytic solution for matter density perturbations in a class of viable cosmological f(R) models, Int. J. Mod. Phys. D, 18, 1731-1740 (2009) · Zbl 1181.83164
[435] Motohashi, H., Starobinsky, A.A. and Yokoyama, J., “Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration”, arXiv e-print, (2010). [arXiv:1002.1141 [astro-ph.CO]]. (Cited on pages 29 and 55.) · Zbl 1197.83125
[436] Mukhanov, Vf; Chibisov, Gv, Quantum fluctuations and a nonsingular universe, Pis. Zh. Eksp. Teor. Fiz., 33, 549-553 (1981)
[437] Mukhanov, Vf; Feldman, Ha; Brandenberger, Rh, Theory of cosmological perturbations, Phys. Rep., 215, 203-333 (1992)
[438] Mukhanov, Vf; Kofman, La; Pogosyan, Dy, Cosmological perturbations in the inflationary universe, Phys. Lett. B, 193, 427-432 (1987)
[439] Mukohyama, S.; Randall, L., A dynamical approach to the cosmological constant, Phys. Rev. Lett., 92, 211302 (2004)
[440] Müller, V.; Schmidt, H-J; Starobinsky, Aa, The stability of the de Sitter space-time in fourth order gravity, Phys. Lett. B, 202, 198-200 (1988)
[441] Multamäki, T.; Vainio, J.; Vilja, I., Hamiltonian perturbation theory in f(R) gravity, Phys. Rev. D, 81, 064025 (2010)
[442] Multamäki, T.; Vilja, I., Cosmological expansion and the uniqueness of the gravitational action, Phys. Rev. D, 73, 024018 (2006)
[443] Multamaki, T.; Vilja, I., Spherically symmetric solutions of modified field equations in f(R) theories of gravity, Phys. Rev. D, 74, 064022 (2006)
[444] Multamäki, T.; Vilja, I., Static spherically symmetric perfect fluid solutions in f(R) theories of gravity, Phys. Rev. D, 76, 064021 (2007)
[445] Multamäki, T.; Vilja, I., Constraining Newtonian stellar configurations in f(R) theories of gravity, Phys. Lett. B, 659, 843-846 (2008)
[446] Narikawa, T.; Yamamoto, K., Characterizing the linear growth rate of cosmological density perturbations in an f(R) model, Phys. Rev. D, 81, 043528 (2010)
[447] Navarro, I.; Van Acoleyen, K., On the Newtonian limit of Generalized Modified Gravity Models, Phys. Lett. B, 622, 1-5 (2005)
[448] Navarro, I.; Van Acoleyen, K., f(R) actions, cosmic acceleration and local tests of gravity, J. Cosmol. Astropart. Phys., 2007, 2, 022 (2007)
[449] Navarro, Jf; Frenk, Cs; White, Sdm, The structure of cold dark matter halos, Astrophys. J., 462, 563-575 (1996)
[450] Nesseris, S.; Perivolaropoulos, L., Comparison of the legacy and gold type Ia supernovae dataset constraints on dark energy models, Phys. Rev. D, 72, 123519 (2005)
[451] Nesseris, S.; Perivolaropoulos, L., Crossing the phantom divide: theoretical implications and observational status, J. Cosmol. Astropart. Phys., 2007, 1, 018 (2007)
[452] Neupane, Ip, On compatibility of string effective action with an accelerating universe, Class. Quantum Grav., 23, 7493-7520 (2006) · Zbl 1114.83012
[453] Neupane, Ip; Carter, Bmn, Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory, J. Cosmol. Astropart. Phys., 2006, 6, 004 (2006)
[454] Ng, Scc; Nunes, Nj; Rosati, F., Applications of scalar attractor solutions to cosmology, Phys. Rev. D, 64, 083510 (2001)
[455] Nicolis, A.; Rattazzi, R.; Trincherini, E., Galileon as a local modification of gravity, Phys. Rev. D, 79, 064036 (2009)
[456] Nojiri, S.; Odintsov, Sd, Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration, Phys. Rev. D, 68, 123512 (2003)
[457] Nojiri, S.; Odintsov, Sd, Modified gravity with ln R terms and cosmic acceleration, Gen. Relativ. Gravit., 36, 1765-1780 (2004) · Zbl 1066.83017
[458] Nojiri, S.; Odintsov, Sd, Modified Gauss-Bonnet theory as gravitational alternative for dark energy, Phys. Lett. B, 631, 1-6 (2005) · Zbl 1247.83292
[459] Nojiri, S.; Odintsov, Sd, Introduction to modified gravity and gravitational alternative for dark energy, Int. J. Geom. Meth. Mod. Phys., 4, 115-145 (2007) · Zbl 1112.83047
[460] Nojiri, S.; Odintsov, Sd, Unifying inflation with ΛCDM epoch in modified f(R) gravity consistent with Solar System tests, Phys. Lett. B, 657, 238-245 (2007)
[461] Nojiri, S.; Odintsov, Sd, Future evolution and finite-time singularities in F(R) gravity unifying inflation and cosmic acceleration, Phys. Rev. D, 78, 046006 (2008)
[462] Nojiri, S.; Odintsov, Sd, Modified f(R) gravity unifying R^m inflation with ΛCDM epoch, Phys. Rev. D, 77, 026007 (2008)
[463] Nojiri, S.; Odintsov, Sd; Sasaki, M., Gauss-Bonnet dark energy, Phys. Rev. D, 71, 123509 (2005)
[464] Novak, J., Neutron star transition to a strong-scalar-field state in tensor-scalar gravity, Phys. Rev. D, 58, 064019 (1998)
[465] Núñez, A.; Solganik, S., Ghost constraints on modified gravity, Phys. Lett. B, 608, 189-193 (2005)
[466] Nzioki, A.M., Carloni, S., Goswami, R. and Dunsby, P.K.S., “A new framework for studying spherically symmetric static solutions in f(R) gravity”, arXiv e-print, (2009). [arXiv:0908.3333 [gr-qc]]. (Cited on page 7.)
[467] O’Hanlon, J., Intermediate-Range Gravity: A Generally Covariant Model, Phys. Rev. Lett., 29, 137-138 (1972)
[468] Ohta, N., Accelerating cosmologies and inflation from M/superstring theories, Int. J. Mod. Phys. A, 20, 1-40 (2005) · Zbl 1077.83057
[469] Olmo, Gj, The gravity Lagrangian according to solar system experiments, Phys. Rev. Lett., 95, 261102 (2005)
[470] Olmo, Gj, Post-Newtonian constraints on f(R) cosmologies in metric and Palatini formalism, Phys. Rev. D, 72, 083505 (2005)
[471] Olmo, Gj, Limit to general relativity in f(R) theories of gravity, Phys. Rev. D, 75, 023511 (2007)
[472] Olmo, Gj, Violation of the equivalence principle in modified theories of gravity, Phys. Rev. Lett., 98, 061101 (2007)
[473] Olmo, Gj, Hydrogen atom in Palatini theories of gravity, Phys. Rev. D, 77, 084021 (2008)
[474] Olmo, Gj, Reexamination of polytropic spheres in Palatini f(R) gravity, Phys. Rev. D, 78, 104026 (2008)
[475] Olmo, G.J., “New Phenomenology for Palatini f(R) Theories: Non-singular Universes”, arXiv e-print, (2009). [arXiv:0910.3734 [gr-qc]]. (Cited on page 64.)
[476] Olmo, Gj; Sanchis-Alepuz, H.; Tripathi, S., Dynamical aspects of generalized Palatini theories of gravity, Phys. Rev. D, 80, 024013 (2009)
[477] Olmo, Gj; Singh, P., Covariant effective action for loop quantum cosmology à la Palatini, J. Cosmol. Astropart. Phys., 2009, 1, 030 (2009)
[478] Oyaizu, H., Nonlinear evolution of f(R) cosmologies. I. Methodology, Phys. Rev. D, 78, 123523 (2008)
[479] Oyaizu, H.; Lima, M.; Hu, W., Nonlinear evolution of f(R) cosmologies. II. Power spectrum, Phys. Rev. D, 78, 123524 (2008)
[480] Padmanabhan, T., Cosmological constant-the weight of the vacuum, Phys. Rep., 380, 235-320 (2003) · Zbl 1027.83544
[481] Palatini, A., Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton, Rend. Circ. Mat. Palermo, 43, 203 (1919) · JFM 47.0698.02
[482] Parry, M.; Pichler, S.; Deeg, D., Higher-derivative gravity in brane world models, J. Cosmol. Astropart. Phys., 2005, 4, 014 (2005)
[483] Paul, Bc; Debnath, Ps; Ghose, S., Accelerating universe in modified theories of gravity, Phys. Rev. D, 79, 083534 (2009)
[484] Peebles, Pje, The Large-Scale Structure of the Universe (1980), Princeton, NJ: Princeton University Press, Princeton, NJ · Zbl 1422.85005
[485] Peebles, Pje; Ratra, B., The cosmological constant and dark energy, Rev. Mod. Phys., 75, 559-606 (2003) · Zbl 1205.83082
[486] Peebles, Pje; Vilenkin, A., Quintessential inflation, Phys. Rev. D, 59, 063505 (1999)
[487] Percival, Wj; Cole, S.; Eisenstein, Dj; Nichol, Rc; Peacock, Ja; Pope, Ac; Szalay, As, Measuring the Baryon Acoustic Oscillation scale using the Sloan Digital Sky Survey and 2dF Galaxy Redshift Survey, Mon. Not. R. Astron. Soc., 381, 1053-1066 (2007)
[488] Perez Bergliaffa, Se, Constraining f(R) theories with the energy conditions, Phys. Lett. B, 642, 311-314 (2006) · Zbl 1248.83110
[489] Perivolaropoulos, L., Crossing the phantom divide barrier with scalar tensor theories, J. Cosmol. Astropart. Phys., 2005, 10, 001 (2005)
[490] Perlmutter, S.; , Measurements of Ω and Λ from 42 High-Redshift Supernovae, Astrophys. J., 517, 565-586 (1999) · Zbl 1368.85002
[491] Perrotta, F.; Baccigalupi, C.; Matarrese, S., Extended quintessence, Phys. Rev. D, 61, 023507 (1999)
[492] Perrotta, F.; Matarrese, S.; Pietroni, M.; Schimd, C., Nonlinear perturbations in scalar-tensor cosmologies, Phys. Rev. D, 69, 084004 (2004)
[493] Pogosian, L.; Silvestri, A., The pattern of growth in viable f(R) cosmologies, Phys. Rev. D, 77, 023503 (2008)
[494] Polarski, D.; Gannouji, R., On the growth of linear perturbations, Phys. Lett. B, 660, 439-443 (2008)
[495] Poplawski, Nj, The cosmic snap parameter in f(R) gravity, Class. Quantum Grav., 24, 3013-3020 (2007) · Zbl 1117.83137
[496] Porrati, M., Fully covariant van Dam-Veltman-Zakharov discontinuity, and absence thereof, Phys. Lett. B, 534, 209-215 (2002) · Zbl 0994.83042
[497] Psaltis, D.; Perrodin, D.; Dienes, Kr; Mocioiu, I., Kerr Black Holes Are Not Unique to General Relativity, Phys. Rev. Lett., 100, 091101 (2008) · Zbl 1228.83077
[498] Pun, Csj; Kovács, Z.; Harko, T., Thin accretion disks in f(R) modified gravity models, Phys. Rev. D, 78, 024043 (2008)
[499] Rador, T., Acceleration of the Universe via f(R) Gravities and The Stability of Extra Dimensions, Phys. Rev. D, 75, 064033 (2007)
[500] Rador, T., f(R) Gravities à la Brans-Dicke, Phys. Lett. B, 652, 228-232 (2007) · Zbl 1248.83111
[501] Randall, L.; Sundrum, R., An alternative to compactification, Phys. Rev. Lett., 83, 4690-4693 (1999) · Zbl 0946.81074
[502] Randall, L.; Sundrum, R., Large mass hierarchy from a small extra dimension, Phys. Rev. Lett., 83, 3370-3373 (1999) · Zbl 0946.81063
[503] Ratra, B.; Peebles, Pje, Cosmological consequences of a rolling homogeneous scalar field, Phys. Rev. D, 37, 3406-3427 (1988)
[504] Reijonen, V., “On white dwarfs and neutron stars in Palatini f(R) gravity”, arXiv e-print, (2009). [arXiv:0912.0825 [gr-qc]]. (Cited on page 72.)
[505] Riazuelo, A.; Uzan, J-P, Cosmological observations in scalar-tensor quintessence, Phys. Rev. D, 66, 023525 (2002)
[506] Riess, Ag, Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant, Astron. J., 116, 1009-1038 (1998)
[507] Riess, Ag, BVRI Light Curves for 22 Type Ia Supernovae, Astron. J., 117, 707-724 (1999)
[508] Ringeval, C.; Rombouts, Jw, Metastable gravity on classical defects, Phys. Rev. D, 71, 044001 (2005)
[509] Rosenthal, E., Extended Palatini action for general relativity, Phys. Rev. D, 80, 084029 (2009)
[510] Ruggiero, Ml, Gravitomagnetic gyroscope precession in Palatini f(R) gravity, Phys. Rev. D, 79, 084001 (2009)
[511] Ruggiero, Ml; Iorio, L., Solar System planetary orbital motions and f(R) theories of gravity, J. Cosmol. Astropart. Phys., 2007, 1, 010 (2007)
[512] Ruzmaikina, Tv; Ruzmaikin, Aa, Quadratic Corrections to the Lagrangian Density of the Gravitational Field and the Singularity, Zh. Eksp. Teor. Fiz., 57, 680 (1969)
[513] Saavedra, J.; Vásquez, Y., Effective gravitational equations on brane world with induced gravity described by f(R) term, J. Cosmol. Astropart. Phys., 2009, 4, 013 (2009)
[514] Sadjadi, H., A Note on Gravitational Baryogenesis, Phys. Rev. D, 76, 123507 (2007)
[515] Saffari, R.; Sobouti, Y., Erratum: An f(R) gravitation for galactic environments, Astron. Astrophys., 472, 833-833 (2007)
[516] Sahni, V.; Shtanov, Y., Braneworld models of dark energy, J. Cosmol. Astropart. Phys., 2003, 11, 014 (2003)
[517] Sahni, V.; Starobinsky, Aa, The case for a positive cosmological Λ-term, Int. J. Mod. Phys. D, 9, 373-443 (2000)
[518] Saidov, T.; Zhuk, A., Problem of inflation in nonlinear multidimensional cosmological models, Phys. Rev. D, 79, 024025 (2009)
[519] Saidov, T. and Zhuk, A., “Bouncing inflation in nonlinear R^2 + R^4 gravitational model”, arXiv e-print, (2010). [arXiv:1002.4138 [hep-th]]. (Cited on page 15.)
[520] Salgado, M., The Cauchy problem of scalar-tensor theories of gravity, Class. Quantum Grav., 23, 4719-4741 (2006) · Zbl 1104.83034
[521] Sami, M.; Toporensky, A.; Tretjakov, Pv; Tsujikawa, S., The fate of (phantom) dark energy universe with string curvature corrections, Phys. Lett. B, 619, 193-200 (2005)
[522] Santos, J.; Alcaniz, Js; Carvalho, Fc; Pires, N., Latest supernovae constraints on f(R) cosmologies, Phys. Lett. B, 669, 14-18 (2008)
[523] Sanyal, Ak, If Gauss-Bonnet interaction plays the role of dark energy, Phys. Lett. B, 645, 1-5 (2007)
[524] Sato, K., First order phase transition of a vacuum and expansion of the Universe, Mon. Not. R. Astron. Soc., 195, 467-479 (1981)
[525] Sawicki, I. and Carroll, S.M., “Cosmological structure evolution and CMB anisotropies in DGP braneworlds”, arXiv e-print, (2005). [astro-ph/0510364]. (Cited on page 115.)
[526] Sawicki, I.; Hu, W., Stability of cosmological solution in f(R) models of gravity, Phys. Rev. D, 75, 127502 (2007)
[527] Schimd, C.; Uzan, J-P; Riazuelo, A., Weak lensing in scalar-tensor theories of gravity, Phys. Rev. D, 71, 083512 (2005)
[528] Schmidt, F., Weak lensing probes of modified gravity, Phys. Rev. D, 78, 043002 (2008)
[529] Schmidt, F.; Lima, M.; Oyaizu, H.; Hu, W., Nonlinear evolution of f(R) cosmologies. III. Halo statistics, Phys. Rev. D, 79, 083518 (2009)
[530] Schmidt, F.; Vikhlinin, A.; Hu, W., Cluster constraints on f(R) gravity, Phys. Rev. D, 80, 083505 (2009)
[531] Schmidt, H-J, Fourth order gravity: Equations, history, and applications to cosmology, Int. J. Geom. Meth. Mod. Phys., 4, 209, 209-248 (2007) · Zbl 1126.83003
[532] Seahra, Ss; Boehmer, Cg, Einstein static universes are unstable in generic f(R) models, Phys. Rev. D, 79, 064009 (2009)
[533] Seifert, Md, Stability of spherically symmetric solutions in modified theories of gravity, Phys. Rev. D, 76, 064002 (2007)
[534] Shao, C-G; Cai, R-G; Wang, B.; Su, R-K, An alternative explanation of the conflict between 1/R gravity and solar system tests, Phys. Lett. B, 633, 164-166 (2006)
[535] Sheth, Rk; Tormen, G., Large-scale bias and the peak background split, Mon. Not. R. Astron. Soc., 308, 119-126 (1999)
[536] Shiromizu, T.; Maeda, K-I; Sasaki, M., The Einstein equations on the 3-brane world, Phys. Rev. D, 62, 024012 (2000)
[537] Shojai, A.; Shojai, F., f(R) Quantum Cosmology, Gen. Relativ. Gravit., 40, 1967-1980 (2008) · Zbl 1152.83404
[538] Shtanov, Y.; Traschen, Jh; Brandenberger, Rh, Universe reheating after inflation, Phys. Rev. D, 51, 5438-5455 (1995)
[539] Silva, Fp; Koyama, K., Self-accelerating universe in Galileon cosmology, Phys. Rev. D, 80, 121301 (2009)
[540] Smith, Re, Stable clustering, the halo model and non-linear cosmological power spectra, Mon. Not. R. Astron. Soc., 341, 1311-1332 (2003)
[541] Smoot, Gf, Structure in the COBE differential microwave radiometer first-year maps, Astrophys. J., 396, L1-L5 (1992)
[542] Sobouti, Y., An f(R) gravitation for galactic environments, Astron. Astrophys., 464, 921-925 (2007) · Zbl 1116.85008
[543] Sokolowski, Lm, Metric gravity theories and cosmology: I. Physical interpretation and viability, Class. Quantum Grav., 24, 3391-3411 (2007) · Zbl 1120.83044
[544] Song, Ys; Hu, W.; Sawicki, I., The large scale structure of f(R) gravity, Phys. Rev. D, 75, 044004 (2007)
[545] Song, Ys; Peiris, H.; Hu, W., Cosmological constraints on f(R) acceleration models, Phys. Rev. D, 76, 063517 (2007)
[546] Song, Y-S, Looking for an extra dimension with tomographic cosmic shear, Phys. Rev. D, 71, 024026 (2005)
[547] Song, Y-S; Hollenstein, L.; Caldera-Cabral, G.; Koyama, K., Theoretical Priors On Modified Growth Parametrisations, J. Cosmol. Astropart. Phys., 2010, 4, 018 (2010)
[548] Song, Y-S; Koyama, K., Consistency test of general relativity from large scale structure of the universe, J. Cosmol. Astropart. Phys., 2009, 1, 048 (2009)
[549] Song, Y-S; Sawicki, I.; Hu, W., Large-scale tests of the Dvali-Gabadadze-Porratimodel, Phys. Rev. D, 75, 064003 (2007)
[550] Sotiriou, Tp, Constraining f(R) gravity in the Palatini formalism, Class. Quantum Grav., 23, 1253-1267 (2006) · Zbl 1091.83027
[551] Sotiriou, Tp, f(R) gravity and scalar-tensor theory, Class. Quantum Grav., 23, 5117-5128 (2006) · Zbl 1100.83026
[552] Sotiriou, Tp, The nearly Newtonian regime in non-linear theories of gravity, Gen. Relativ. Gravit., 38, 14071417 (2006) · Zbl 1149.83327
[553] Sotiriou, Tp, Unification of inflation and cosmic acceleration in the Palatini formalism, Phys. Rev. D, 73, 063515 (2006)
[554] Sotiriou, Tp, Curvature scalar instability in f(R) gravity, Phys. Lett. B, 645, 389-392 (2007) · Zbl 1273.83158
[555] Sotiriou, Tp, 6+1 lessons from f(R) gravity, J. Phys.: Conf. Ser., 189, 012039 (2009)
[556] Sotiriou, Tp; Faraoni, V., f(R) theories of gravity, Rev. Mod. Phys., 82, 451-497 (2010) · Zbl 1205.83006
[557] Sotiriou, Tp; Liberati, S., The metric-affine formalism of f(R) gravity, J. Phys.: Conf. Ser., 68, 012022 (2007)
[558] Sotiriou, Tp; Liberati, S., Metric-affine f(R) theories of gravity, Ann. Phys. (N. Y.), 322, 935-966 (2007) · Zbl 1112.83049
[559] Soussa, Me; Woodard, Rp, Letter: The Force of Gravity from a Lagrangian Containing Inverse Powers of the Ricci Scalar, Gen. Relativ. Gravit., 36, 855-862 (2004) · Zbl 1050.83025
[560] Spergel, Dn; , First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters, Astrophys. J. Suppl. Ser., 148, 175-194 (2003)
[561] Spergel, Dn; , Wilkinson Microwave Anisotropy Probe (WMAP) three year results: Implications for cosmology, Astrophys. J. Suppl. Ser., 170, 377-408 (2007)
[562] Stabenau, Hf; Jain, B., N-body simulations of alternate gravity models, Phys. Rev. D, 74, 084007 (2006)
[563] Starobinsky, Aa, Spectrum of relic gravitational radiation and the early state of the universe, J. Exp. Theor. Phys. Lett., 30, 682 (1979)
[564] Starobinsky, Aa, A new type of isotropic cosmological models without singularity, Phys. Lett. B, 91, 99-102 (1980) · Zbl 1371.83222
[565] Starobinsky, Aa, Nonsingular model of the Universe with the quantum-gravitational de Sitter stage and its observational consequences, Quantum Gravity, 58-72 (1982), Moscow: INR Press, Moscow
[566] Starobinsky, Aa, Quantum Fluctuation and Nonsingular Universe, Pis. Zh. Eksp. Teor. Fiz., 9, 579 (1983)
[567] Starobinsky, Aa, How to determine an effective potential for a variable cosmological term, J. Exp. Theor. Phys. Lett., 68, 757-763 (1998)
[568] Starobinsky, Aa, Disappearing cosmological constant in f(R) gravity, J. Exp. Theor. Phys. Lett., 86, 157-163 (2007)
[569] Starobinsky, Aa; Tsujikawa, S.; Yokoyama, J., Cosmological perturbations from multifield inflation in generalized Einstein theories, Nucl. Phys. B, 610, 383-410 (2001) · Zbl 0971.83088
[570] Starobinsky, A.A. and Yokoyama, J., “Density fluctuations in Brans-Dicke inflation”, arXiv e-print, (1995). [gr-qc/9502002]. (Cited on page 75.)
[571] Steinhardt, Pj; Accetta, Fs, Hyperextended Inflation, Phys. Rev. Lett., 64, 2740-2743 (1990)
[572] Stelle, Ks, Classical Gravity With Higher Derivatives, Gen. Relativ. Gravit., 9, 353-371 (1978)
[573] Stewart, Ed; Lyth, Dh, A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation, Phys. Lett. B, 302, 171-175 (1993)
[574] Takada, M.; Jain, B., Cosmological parameters from lensing power spectrum and bispectrum tomography, Mon. Not. R. Astron. Soc., 348, 897-915 (2004)
[575] Tamaki, T.; Tsujikawa, S., Revisiting chameleon gravity: Thin-shell and no-shell fields with appropriate boundary conditions, Phys. Rev. D, 78, 084028 (2008)
[576] Tatekawa, T.; Tsujikawa, S., Second-order matter density perturbations and skewness in scalar-tensor modified gravity models, J. Cosmol. Astropart. Phys., 2008, 9, 009 (2008)
[577] Tegmark, M.; , Cosmological parameters from SDSS and WMAP, Phys. Rev. D, 69, 103501 (2004) · Zbl 1405.83002
[578] Tegmark, M.; , Cosmological constraints from the SDSS luminous red galaxies, Phys. Rev. D, 74, 123507 (2006)
[579] Teyssandier, P.; Tourrenc, P., The Cauchy problem for the R+ R^2 theories of gravity without torsion, J. Math. Phys., 24, 2793-2799 (1983) · Zbl 0568.58015
[580] Thongkool, I.; Sami, M.; Gannouji, R.; Jhingan, S., Constraining f(R) gravity models with disappearing cosmological constant, Phys. Rev. D, 80, 043523 (2009)
[581] Thongkool, I.; Sami, M.; Rai Choudhury, S., How delicate are the f(R) gravity models with a disappearing cosmological constant?, Phys. Rev. D, 80, 127501 (2009)
[582] Toporensky, A.; Tsujikawa, S., Nature of singularities in anisotropic string cosmology, Phys. Rev. D, 65, 123509 (2002)
[583] Torres, Df, Quintessence, superquintessence, and observable quantities in Brans-Dicke and nonminimally coupled theories, Phys. Rev. D, 66, 043522 (2002)
[584] Traschen, Jh; Brandenberger, Rh, Particle production during out-of-equilibrium phase transitions, Phys. Rev. D, 42, 2491-2504 (1990)
[585] Tsujikawa, S., Cosmologies from higher-order string corrections, Ann. Phys. (Berlin), 15, 302-315 (2006)
[586] Tsujikawa, S., Matter density perturbations and effective gravitational constant in modified gravity models of dark energy, Phys. Rev. D, 76, 023514 (2007)
[587] Tsujikawa, S., Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints, Phys. Rev. D, 77, 023507 (2008)
[588] Tsujikawa, S.; Brandenberger, R.; Finelli, F., Construction of nonsingular pre-big-bang and ekpyrotic cosmologies and the resulting density perturbations, Phys. Rev. D, 66, 083513 (2002)
[589] Tsujikawa, S.; Gannouji, R.; Moraes, B.; Polarski, D., Dispersion of growth of matter perturbations in f(R) gravity, Phys. Rev. D, 80, 084044 (2009)
[590] Tsujikawa, S.; Gumjudpai, B., Density perturbations in generalized Einstein scenarios and constraints on nonminimal couplings from the Cosmic Microwave Background, Phys. Rev. D, 69, 123523 (2004)
[591] Tsujikawa, S.; Maeda, K-I; Torii, T., Preheating with nonminimally coupled scalar fields in higher-curvature inflation models, Phys. Rev. D, 60, 123505 (1999)
[592] Tsujikawa, S.; Maeda, K-I; Torii, T., Resonant particle production with nonminimally coupled scalar fields in preheating after inflation, Phys. Rev. D, 60, 063515 (1999)
[593] Tsujikawa, S.; Sami, M., String-inspired cosmology: a late time transition from a scaling matter era to a dark energy universe caused by a Gauss-Bonnet coupling, J. Cosmol. Astropart. Phys., 2007, 1, 006 (2007)
[594] Tsujikawa, S.; Tamaki, T.; Tavakol, R., Chameleon scalar fields in relativistic gravitational backgrounds, J. Cosmol. Astropart. Phys., 2009, 5, 020 (2009)
[595] Tsujikawa, S.; Tatekawa, T., The effect of modified gravity on weak lensing, Phys. Lett. B, 665, 325-331 (2008)
[596] Tsujikawa, S.; Uddin, K.; Mizuno, S.; Tavakol, R.; Yokoyama, J., Constraints on scalartensor models of dark energy from observational and local gravity tests, Phys. Rev. D, 77, 103009 (2008)
[597] Tsujikawa, S.; Uddin, K.; Tavakol, R., Density perturbations in f(R) gravity theories in metric and Palatini formalisms, Phys. Rev. D, 77, 043007 (2008)
[598] Uddin, K.; Lidsey, Je; Tavakol, R., Cosmological perturbations in Palatini-modified gravity, Class. Quantum Grav., 24, 3951-3962 (2007) · Zbl 1170.83441
[599] Uddin, K.; Lidsey, Je; Tavakol, R., Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories, Gen. Relativ. Gravit., 41, 2725-2736 (2009) · Zbl 1181.83255
[600] Upadhye, A.; Hu, W., The existence of relativistic stars in f(R) gravity, Phys. Rev. D, 80, 064002 (2009)
[601] Uzan, J-P, Cosmological scaling solutions of nonminimally coupled scalar fields, Phys. Rev. D, 59, 123510 (1999)
[602] Vainshtein, Ai, To the problem of nonvanishing gravitation mass, Phys. Lett. B, 39, 393-394 (1972)
[603] Vakili, B., Noether symmetric f(R) quantum cosmology and its classical correlations, Phys. Lett. B, 669, 206-211 (2008)
[604] Vakili, B., Noether symmetry in f(R) cosmology, Phys. Lett. B, 664, 16-20 (2008) · Zbl 1328.83220
[605] Viel, M.; Haehnelt, Mg, Cosmological and astrophysical parameters from the Sloan Digital Sky Survey flux power spectrum and hydrodynamical simulations of the Lyman α forest, Mon. Not. R. Astron. Soc., 365, 231-244 (2006)
[606] Vilenkin, A., Classical and quantum cosmology of the Starobinsky inflationary model, Phys. Rev. D, 32, 2511-2521 (1985)
[607] Vollick, Dn, 1/R curvature corrections as the source of the cosmological acceleration, Phys. Rev. D, 68, 063510 (2003)
[608] Vollick, Dn, On the viability of the Palatini form of 1/R gravity, Class. Quantum Grav., 21, 3813-3816 (2004) · Zbl 1088.83015
[609] Wald, Rm, General Relativity (1984), Chicago: University of Chicago Press, Chicago · Zbl 0549.53001
[610] Wald, Rm, Black hole entropy is the Noether charge, Phys. Rev. D, 48, R3427-R3431 (1993) · Zbl 0942.83512
[611] Wands, D., Extended gravity theories and the Einstein-Hilbert action, Class. Quantum Grav., 11, 269-279 (1994)
[612] Wang, L.; Steinhardt, Pj, Cluster Abundance Constraints for Cosmological Models with a Time-varying, Spatially Inhomogeneous Energy Component with Negative Pressure, Astrophys. J., 508, 483-490 (1998)
[613] Weinberg, Ej, Some problems with extended inflation, Phys. Rev. D, 40, 3950-3959 (1989)
[614] Weinberg, S., The cosmological constant problem, Rev. Mod. Phys., 61, 1-23 (1989) · Zbl 1129.83361
[615] Wetterich, C., Cosmology and the fate of dilatation symmetry, Nucl. Phys. B, 302, 668-696 (1988)
[616] Will, C.M., “The Confrontation between General Relativity and Experiment”, Living Rev. Relativity, 4, lrr-2001-4, (2001). URL (accessed 25 February 2010): http://www.livingreviews.org/lrr-2001-4. (Cited on pages 31, 37, and 78.) · Zbl 1024.83003
[617] Will, C.M., “The Confrontation between General Relativity and Experiment”, Living Rev. Relativity, 3, lrr-2006-3, (2001). URL (accessed 25 February 2010): http://www.livingreviews.org/lrr-2006-3. (Cited on pages 31, 37, and 78.) · Zbl 1024.83003
[618] Woodard, Rp; Papantonopoulos, L., Avoiding Dark Energy with 1/R Modifications of Gravity, The Invisible Universe: Dark Matter and Dark Energy, 403-433 (2007), Berlin; New York: Springer, Berlin; New York
[619] Wu, S-F; Wang, B.; Yang, G-H, Thermodynamics on the apparent horizon in generalized gravity theories, Nucl. Phys. B, 799, 330-344 (2008) · Zbl 1292.83047
[620] Wu, S-F; Wang, B.; Yang, G-H; Zhang, P-M, The generalized second law of thermodynamics in generalized gravity theories, Class. Quantum Grav., 25, 235018 (2008) · Zbl 1155.83356
[621] Wu, X.; Zhu, Z-H, Reconstructing f(R) theory according to holographic dark energy, Phys. Lett. B, 660, 293-298 (2008)
[622] Xia, J-Q, Constraining Dvali-Gabadadze-Porrati gravity from observational data, Phys. Rev. D, 79, 103527 (2009)
[623] Yajima, H.; Maeda, K-I; Ohkubo, H., Generality of singularity avoidance in superstring theory: Anisotropic case, Phys. Rev. D, 62, 024020 (2000)
[624] Yamamoto, K.; Parkinson, D.; Hamana, T.; Nichol, Rc; Suto, Y., Optimizing future imaging survey of galaxies to confront dark energy and modified gravity models, Phys. Rev. D, 76, 023504 (2007)
[625] Zakharov, Af; Nucita, Aa; De Paolis, F.; Ingrosso, G., Solar system constraints on R^n gravity, Phys. Rev. D, 74, 107101 (2006)
[626] Zel’Dovich, Yb; Starobinsky, Aa, Particle production and vacuum polarization in an anisotropic gravitational field, Sov. Phys. JETP, 34, 1159 (1972)
[627] Zhang, P., Testing gravity against the early time integrated Sachs-Wolfe effect, Phys. Rev. D, 73, 123504 (2006)
[628] Zhang, Pj, Behavior of f(R) gravity in the solar system, galaxies, and clusters, Phys. Rev. D, 76, 024007 (2007)
[629] Zhang, P.; Liguori, M.; Bean, R.; Dodelson, S., Probing Gravity at Cosmological Scales by Measurements which Test the Relationship between Gravitational Lensing and Matter Overdensity, Phys. Rev. Lett., 99, 141302 (2007)
[630] Zhao, Gb; Zhang, X., Probing Dark Energy Dynamics from Current and Future Cosmological Observations, Phys. Rev. D, 81, 043518 (2010)
[631] Zhao, G-B; Pogosian, L.; Silvestri, A.; Zylberberg, J., Cosmological Tests of General Relativity with Future Tomographic Surveys, Phys. Rev. Lett., 103, 241301 (2009)
[632] Zhao, G-B; Pogosian, L.; Silvestri, A.; Zylberberg, J., Searching for modified growth patterns with tomographic surveys, Phys. Rev. D, 79, 083513 (2009)
[633] Zhou, S-Y; Copeland, Ej; Saffin, Pm, Cosmological Constraints on f(G) Dark Energy Models, J. Cosmol. Astropart. Phys., 2009, 7, 009 (2009)
[634] Zlatev, I.; Wang, Lm; Steinhardt, Pj, Quintessence, Cosmic Coincidence, and the Cosmological Constant, Phys. Rev. Lett., 82, 896-899 (1999)
[635] Zwiebach, B., Curvature Squared Terms And String Theories, Phys. Lett. B, 156, 315-317 (1985)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.