Abstract
Kerner and Mann’s recent research on the Hawking radiation of the spherically symmetric uncharged black hole shows that the Hawking temperature can be obtained by the fermion tunneling method. In this paper, we extend this work to the general case and view the Hawking radiations of the Reissner–Nordström black hole, Kerr black hole and Kerr–Newman black hole in anti-de Sitter spaces. The Hawking temperatures are recovered and are exactly the same as that obtained by other methods.
Similar content being viewed by others
References
S.W. Hawking, Nature 30, 248 (1974)
S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)
T. Damour, R. Ruffini, Phys. Rev. D 14, 332 (1976)
G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15, 2752 (1977)
G.W. Gibbons, M.J. Perry, C.N. Pope, hep-th/0408217
S. Sannan, Gen. Relat. Grav. 20, 239 (1988)
J.M. Bardeen, B. Carter, S.W. Hawking, Math. Phys. 31, 161 (1973)
S.Q. Wu, Phys. Lett. B 608, 251 (2005)
J.L. Jing, Chin. Phys. 10, 234 (2001)
P. Kraus, F. Wilczek, Mod. Phys. Lett. A 9, 3713 (1994)
P. Kraus, F. Wilczek, Nucl. Phys. B 433, 403 (1995)
M.K. Parikh, F. Wilczek, Phys. Rev. Lett. 85, 5024 (2000)
M.K. Parikh, Phys. Lett. B 546, 189 (2002)
M.K. Parikh, Int. J. Mod. Phys. D 13, 2351 (2004)
S. Hemming, E. Keski-Vakkuri, Phys. Rev. D 64, 044006 (2001)
A.J.M. Medved, Phys. Rev. D 66, 124009 (2002)
E.C. Vagenas, Phys. Lett. B 533, 302 (2002)
M. Arzano, A.J.M. Medved, E.C. Vagenas, JHEP 0509, 037 (2005)
A.J.M. Medved, E.C. Vagenas, Mod. Phys. Lett. A 20, 1723 (2005)
J.Y. Zhang, Z. Zhao, Nucl. Phys. B 725, 173 (2005)
J.Y. Zhang, Z. Zhao, JHEP 0510, 055 (2005)
S.Z. Yang, Chin. Phys. Lett. 22, 2492 (2005)
S. Christensen, S. Fulling, Phys. Rev. D 15, 2088 (1977)
S.P. Robinson, F. Wilczek, Phys. Rev. Lett. 95, 011303 (2005)
S. Iso, H. Umetsu, F. Wilczek, Phys. Rev. Lett. 96, 151302 (2006)
S. Iso, H. Umetsu, F. Wilczek, Phys. Rev. D 74, 044017 (2006)
K. Murata, J. Soda, Phys. Rev. D 74, 044018 (2006)
Q.Q. Jiang, S.Q. Wu, X. Cai, Phys. Rev. D 75, 064029 (2007)
R. Banerjee, S. Kulkarni, 0707.2449 [hep-th]
E. Vagenas, S. Das, JHEP 0610, 025 (2006)
M.R. Setare, Eur. Phys. J. C 49, 865 (2007)
R. Kerner, R.B. Mann, 0710.0612 [hep-th]
B. Wang, C.Y. Lin, E. Abdalla, hep-th/0003295
B. Carter, Commun. Math. Phys. 10, 280 (1968)
Q.Q. Jiang, S.Q. Wu, hep-th/0701002
J.F. Plebanski, Ann. Phys. 98, 98 (1976)
R. Di Criscienzo, 0803.0435 [hep-th]
R. Li, J.R. Ren, 0803.1410 [hep-th]
R. Kerner, R.B. Mann, 0803.2246 [hep-th]
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
04.70.Dy; 04.62.+v; 11.30.-j
Rights and permissions
About this article
Cite this article
Chen, D., Yang, H. & Zu, X. Fermion tunneling from anti-de Sitter spaces. Eur. Phys. J. C 56, 119–124 (2008). https://doi.org/10.1140/epjc/s10052-008-0638-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-008-0638-y