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Bianchi type V barotropic perfect fluid cosmological model in Lyra geometry. (English) Zbl 1171.83342

Summary: We have investigated Bianchi Type V barotropic perfect fluid cosmological model in Lyra geometry. To get the deterministic model of the universe, we have assumed the barotropic perfect fluid condition \(p=\gamma \rho\), \(0\leq \gamma \leq 1\) and energy conservation equation i.e. \(T^j_{i;j} =0\). The physical and geometrical aspects of the model are discussed. The special cases for \(\gamma =1\) (stiff fluid distribution), \(\gamma =0\) (dust distribution), \(\gamma =1/3\) (disordered radiation) are also discussed.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C15 Exact solutions to problems in general relativity and gravitational theory
83F05 Relativistic cosmology
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[1] Weyl, H.: Sitz.ber. Preuss Akad. Wiss., 465 (1918)
[2] Lyra, G.: Math. Z. 54, 52 (1951) · Zbl 0042.15902 · doi:10.1007/BF01175135
[3] Halford, W.D.: Aust. J. Phys. 23, 863 (1970)
[4] Soleng, H.H.: Gen. Relativ. Gravit. 19, 1213 (1987) · doi:10.1007/BF00759100
[5] Hoyle, F.: Mon. Not. R. Astron. Soc. 108, 252 (1948)
[6] Hoyle, F., Narlikar, J.V.: Proc. R. Soc. Lond., Ser. A 273, 1 (1963) · Zbl 0116.44601 · doi:10.1098/rspa.1963.0072
[7] Singh, T., Singh, G.P.: Forthschr. Phys. 41, 737 (1993)
[8] Reddy, D.R.K., Venkateshwarlu, R.: Astrophys. Space Sci. 136, 191 (1987) · doi:10.1007/BF00661267
[9] Singh, T., Singh, G.P.: J. Math. Phys. 32, 2456 (1991) · Zbl 0736.76084 · doi:10.1063/1.529495
[10] Chakraborty, S., Ghosh, S.: Int. J. Mod. Phys. D 9, 543 (2000)
[11] Rahaman, F., Bera, J.: Int. J. Mod. Phys. D 10, 729 (2001) · Zbl 1155.83360 · doi:10.1142/S0218271801001232
[12] Rahaman, F., Chakraborty, S., Bera, J.: Int. J. Mod. Phys. D 11, 1501 (2002) · Zbl 1062.83578 · doi:10.1142/S0218271802001937
[13] Rahaman, F., Begum, N., Bag, G., Bhui, B.C.: Astrophys. Space Sci. 299, 211 (2005) · doi:10.1007/s10509-005-5943-4
[14] Pradhan, A., Vishwakarma, A.K.: J. Geom. Phys. 49, 32 (2004) · Zbl 1069.83500 · doi:10.1016/S0393-0440(03)00105-0
[15] Pradhan, A., Yadav, V.K., Chakraborty, I.: Int. J. Mod. Phys. D 10, 339 (2001) · doi:10.1142/S0218271801000767
[16] Pradhan, A., Rai, V., Otarod, S.: Fizika B 15, 23 (2006)
[17] Casana, R., Melo, C., Pimentel, B.: Astrophys. Space Sci. 305, 125 (2006) · doi:10.1007/s10509-006-9048-5
[18] Singh, J.K.: Astrophys. Space Sci. 314, 361 (2008) · doi:10.1007/s10509-008-9776-9
[19] Kumar, S., Singh, C.P.: Int. J. Mod. Phys. A 23, 813 (2008) · Zbl 1151.83314 · doi:10.1142/S0217751X08038597
[20] Pradhan, A.: J. Math. Phys. 50, 022501 (2009) · Zbl 1202.83029 · doi:10.1063/1.3075571
[21] Pradhan, A.: Commun. Theor. Phys. 51, 378 (2009) · Zbl 1175.83057 · doi:10.1088/0253-6102/51/2/38
[22] Mohanty, G., Mahanta, K.L., Sahoo, R.R.: Astrophys. Space Sci. 306, 269 (2006) · doi:10.1007/s10509-006-9272-z
[23] Bali, R., Chandnani, N.K.: J. Math. Phys. 49, 032502 (2008) · Zbl 1153.85310 · doi:10.1063/1.2898477
[24] Bali, R., Chandnani, N.K.: Astrophys. Space Sci. 318, 225 (2008) · doi:10.1007/s10509-008-9907-3
[25] Beesham, A.: Astrophys. Space Sci. 125, 99 (1986) · doi:10.1007/BF00643975
[26] Maharaj, S.D., Beehsam, A.: S. Afr. J. Phys. 11, 34 (1988)
[27] Coley, A.A.: Gen. Relativ. Gravit. 22, 3 (1990) · Zbl 0697.53071 · doi:10.1007/BF00756274
[28] Lorentz, D.: Gen. Relativ. Gravit. 13, 795 (1981) · doi:10.1007/BF00758217
[29] Roy, S.R., Singh, J.P.: Astrophys. Space Sci. 96, 303 (1983) · Zbl 0547.76139 · doi:10.1007/BF00651674
[30] Banerjee, A., Sanyal, A.K.: Gen. Relativ. Gravit. 20, 103 (1988) · doi:10.1007/BF00759320
[31] Roy, S.R., Prasad, A.: Gen. Relativ. Gravit. 26, 939 (1994) · doi:10.1007/BF02106663
[32] Nayak, B.K., Sahoo, B.K.: Gen. Relativ. Gravit. 28, 251 (1996) · Zbl 0849.53059 · doi:10.1007/BF02106966
[33] Bali, R., Singh, D.K.: Astrophys. Space Sci. 288, 517 (2003) · Zbl 1044.83550 · doi:10.1023/B:ASTR.0000005122.85735.75
[34] Bali, R., Sharma, K.: Math. Prog., B.H.U. (India), 53 (2003)
[35] Bali, R., Meena, B.L.: Pramana J. Phys. 62, 1007 (2004) · doi:10.1007/BF02705248
[36] Bali, R., Meena, B.L.: Proc. Natl. Acad. Sci. 75A(IV), 273 (2005)
[37] Singh, C.P., Zeyauddin, M., Ram, S.: Int. J. Theor. Phys. 47, 3162 (2008) · Zbl 1161.83329 · doi:10.1007/s10773-008-9751-9
[38] Bali, R., Jain, S.: Int. J. Mod. Phys. D 16, 1769 (2007) · Zbl 1200.83030 · doi:10.1142/S0218271807011073
[39] Singh, T., Singh, G.P.: Astrophys. Space Sci. 182, 189 (1991) · Zbl 0734.76099 · doi:10.1007/BF00644999
[40] Sen, D.K.: Phys. Z. 149, 311 (1957) · doi:10.1007/BF01333146
[41] MacCallum, M.A.H.: Commun. Math. Phys. 20, 57 (1971) · doi:10.1007/BF01646733
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