Abstract
Quantum entropy of extremal black holes has been discussed by many authors. However the contribution of inner event horizon has not been considered. In this paper, we consider the Reissner-Nordström-anti-de Sitter black hole, and show that the contributions lead extremal black hole entropy to obey the Nernst theorem, naturally. Therefore the contributions are important and cannot be neglected in near-extremal and extremal black hole cases.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ghosh, A., Mitra, P.: Phys. Rev. Lett. 78, 1858 (1997)
Goldberg, J.N., Macfarlane, A.J., Newman, E.T., Rohrlich, F., Sudarshan, E.C.G.: J. Math. Phys. 8, 2155 (1967)
Hawking, S.W., Horowitz, G.T., Ross, S.F.: Phys. Rev. D 51, 4302 (1995)
Jing, J.L., Yan, M.L.: Phys. Rev. D 63, 084028 (2001a)
Jing, J.L., Yan, M.L.: Phys. Rev. D 64, 064015 (2001b)
López-Ortega, A.: Gen. Relativ. Gravit. 35, 59 (2003)
Li, Z.H.: Phys. Rev. D 62, 024001 (2000)
Li, Z.H.: Phys. Lett. B 643, 64 (2006)
Mi, L.Q., Li, Z.H.: Mod. Phys. Lett. A 21, 1821 (2006)
Mitra, P.: Phys. Lett. B 441, 89 (1998)
Solodukhin, S.N.: Phys. Rev. D 51, 618 (1995)
’t Hooft, G.: Nucl. Phys. B 256, 727 (1985)
Torresdel Castillo, G.F.: J. Math. Phys. 29, 2078 (1998)
Teukolsky, S.A.: Astrophys. J. 185, 635 (1973)
Winstanley, E.: Phys. Rev. D 63, 084013 (2001)
Wald, R.M.: Phys. Rev. D 56, 6467 (1997)
Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grants No. 11075141, 11173021 and 10775119.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mi, LQ. Extremal black hole entropy satisfying the Nernst theorem. Astrophys Space Sci 343, 599–603 (2013). https://doi.org/10.1007/s10509-012-1282-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1282-4