×

Analytic solutions in the dyon black hole with a cosmic string: scalar fields, Hawking radiation and energy flux. (English) Zbl 1343.81082

Summary: Charged massive scalar fields are considered in the gravitational and electromagnetic field produced by a dyonic black hole with a cosmic string along its axis of symmetry. Exact solutions of both angular and radial parts of the covariant Klein-Gordon equation in this background are obtained, and are given in terms of the confluent Heun functions. The role of the presence of the cosmic string in these solutions is showed up. From the radial solution, we obtain the exact wave solutions near the exterior horizon of the black hole, and discuss the Hawking radiation spectrum and the energy flux.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
83C45 Quantization of the gravitational field
83C57 Black holes
83C75 Space-time singularities, cosmic censorship, etc.
94A17 Measures of information, entropy
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Carter, B., Comm. Math. Phys., 10, 280 (1968)
[2] Brill, D. R.; Chrzanowski, P. L.; Pereira, C. M.; Fackerell, E. D.; Ipser, J. R., Phys. Rev. D, 5, 1913 (1972)
[3] Vasudevan, M.; Stevens, K. A.; Page, D. N., Classical Quantum Gravity, 22, 339 (2005)
[4] Ford, L. H., Phys. Rev. D, 12, 2963 (1975)
[5] Elizalde, E., Phys. Rev. D, 36, 1269 (1987)
[6] Dolan, S. R., Phys. Rev. D, 76, 0840001 (2007)
[7] Kibble, T. W.B., J. Phys. A: Math. Gen., 9, 1387 (1976)
[8] Vilenkin, A., Phys. Rev. D, 23, 852 (1981)
[9] Vilenkin, A.; Sherllard, E. P.S., Cosmic Strings and Other Topological Defects (1994), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0978.83052
[10] Teixeira Filho, R. M.; Bezerra, V. B., Classical Quantum Gravity, 21, 307 (2004)
[11] Germano, M. G.; Bezerra, V. B.; Bezerra de Mello, E. R., Classical Quantum Gravity, 13, 2663 (1996)
[12] Gal’tsov, D. V.; Masár, E., Classical Quantum Gravity, 6, 1313 (1989)
[13] Hawking, S. W., Comm. Math. Phys., 43, 199 (1975)
[14] Boulware, D. G., Phys. Rev. D, 11, 1404 (1975)
[15] Hartle, J. B.; Hawking, S. W., Phys. Rev. D, 13, 2188 (1976)
[16] Gibbons, G. W.; Hawking, S. W., Phys. Rev. D, 15, 2738 (1977)
[17] Vieira, H. S.; Bezerra, V. B.; Muniz, C. R., Ann. Phys. (NY), 350, 14 (2014)
[18] Vieira, H. S.; Bezerra, V. B.; Costa, A. A., Europhys. Lett., 109, 60006 (2015)
[19] Zhao, Z.; Zhang, D., Kexue Tongbao, 29, 1303 (1984)
[20] Yang, S.-Z., Chin. Phys. Lett., 22, 2492 (2005)
[21] He, T.-M.; Fan, J.-H.; Wang, Y.-J., Chin. Phys. B, 17, 2321 (2008)
[22] Ronveaux, A., Heun’s Differential Equations (1995), Oxford University Press: Oxford University Press New York · Zbl 0847.34006
[23] Fernandes, S. G.; Marques, G. A.; Bezerra, V. B., Classical Quantum Gravity, 23, 7063 (2006)
[24] Kasuya, M., Phys. Rev. D, 25, 995 (1982)
[25] Semiz, I., Gen. Relativity Gravitation, 43, 833 (2011)
[26] Bezerra, V. B.; Vieira, H. S.; Costa, A. A., Classical Quantum Gravity, 31, Article 045003 pp. (2014)
[27] Semiz, I., Phys. Rev. D, 45, 532 (1992)
[28] Fiziev, P. P., J. Phys. A: Math. Theor., 43, Article 035203 pp. (2010)
[29] Damour, T.; Ruffini, R., Phys. Rev. D, 14, 332 (1976)
[30] Sannan, S., Gen. Relativity Gravitation, 20, 239 (1988)
[31] Wu, C.-H.; Ford, L. H., Phys. Rev. D, 60, Article 104013 pp. (1999)
[32] Banerjee, R.; Majhi, B. R., Phys. Lett. B, 675, 243 (2009)
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.