Abstract
Medved and Vagenas demonstrated how the Angheben-Nadalini-Vanzo-Zerbini analysis can be adapted in describing the effects of the gravitational back-reaction for the generic spherically symmetric black hole. We extend the Medved-Vagenas quantum tunneling method to the case of the stationary axisymmetric Kerr black hole in anti-de Sitter space-times. We find a correction to the Hawking radiation by considering the effects of the gravitational back-reaction and also energy conservation and angular momentum conservation.
Similar content being viewed by others
References
S. W. Hawking, Comm. Math. Phys., 43, 199–220 (1975); Nature, 248, 30–31 (1974).
T. Damour and R. Ruffini, Phys. Rev. D, 14, 332–334 (1976).
Z. H. Li and Z. Zhao, Acta Phys. Sinica, 46, 1273–1281 (1997).
Q.-Q. Jiang and S.-Q. Wu, Phys. Lett. B, 647, 200–206 (2007); Q.-Q. Jiang, S.-Q. Wu, and X. Cai, Phys. Rev. D, 75, 064029 (2007).
U. Khanal, Phys. Rev. D, 28, 1291 (1983); U. Khanal and N. Panchapakesan, Phys. Rev. D, 24, 829–834 (1981).
Z. Zhao and J. Y. Zhu, Acta Phys. Sinica, 48, 1558–1564 (1999); Z. Zhao, C. Q. Yang, and Q. A. Ren, Gen. Relativity Gravitation, 26, 1055–1065 (1992); Z. Zhao and X. X. Dai, Modern Phys. Lett. A, 7, 1771–1778 (1992).
S. Sannan, Gen. Relativity Gravitation, 20, 239–246 (1988).
E. Keski-Vakkuri and P. Kraus, Phys. Rev. D, 54, 7407–7420 (1996).
S. Shankaranarayanan, T. Padmanabhan, and K. Srinivasan, Class. Q. Grav., 19, 2671–2687 (2002).
L. Vanzo, Phys. Rev. D, 55, 2192–2201 (1997).
S. W. Hawking, Phys. Rev. D, 14, 2460–2473 (1976).
M. K. Parikh and F. Wilczek, Phys. Rev. Lett., 85, 5042–5045 (2000); M. K. Parikh, Internat. J. Mod. Phys. D, 13, 2351–2354 (2004); Phys. Lett. B, 546, 189–195 (2002).
P. Kraus and F. Wilczek, Nucl. Phys. B, 437, 231–242 (1995).
A. J. M. Medved, Phys. Rev. D, 66, 124009 (2002).
S. Hemming and E. Keski-Vakkuri, Phys. Rev. D, 64, 44006 (2001).
J. Y. Zhang and Z. Zhao, Phys. Lett. B, 618, 14–22 (2005); Modern Phys. Lett. A, 20, 1673–1681 (2005).
J. Y. Zhang and Z. Zhao, JHEP, 0510, 10055 (2005); Nucl. Phys. B, 725, 173–180 (2005).
A. J. M. Medved and E. C. Vagenas, Modern Phys. Lett. A, 20, 1723–1728, 2449–2453 (2005).
M. Arzano, A. J. M. Medved, and E. C. Vagenas, JHEP, 0509, 037 (2005); arXiv:hep-th/0505266v2 (2005).
M. R. Setare and E. C. Vagenas, Internat. J. Mod. Phys. A, 20, 7219–7232 (2005); M. Arzano, Modern Phys. Lett. A, 21, 41–48 (2006); arXiv:hep-th/0504188v2 (2005).
H.-L. Li, S.-Z. Yang, Q.-Q. Jiang, and D.-J. Qi, Phys. Lett. B, 641, 139–144 (2006); H.-L. Li, D.-J. Qi, and S.-Z. Yang, Gen. Relativity Gravitation, 39, 179–188 (2007).
Q.-Q. Jiang, S.-Q. Wu, and X. Cai, Phys. Rev. D, 73, 064003 (2006).
G.-Q. Li, Europhys. Lett., 76, 203–207 (2006); Theor. Math. Phys., 151, 586–589 (2007); 153, 358–362 (2007); 149, 1349–1353 (2006).
E. C. Vagenas, Phys. Lett. B, 503, 399–403 (2001); 533, 302–306 (2002); Modern Phys. Lett. A, 17, 609–618 (2002).
S.-Z. Yang, Chinese Phys. Lett., 22, 2492–2495 (2005); S.-Z. Yang, Q.-Q. Jiang, and H.-L. Li, Chinese Phys., 14, 2411–2414 (2005).
M. Angheben, M. Nadalini, L. Vanzo, and S. Zerbini, JHEP, 0505, 014 (2005).
Q. Q. Jiang, S. Q. Wu, and X. Cai, Acta. Phys. Sinica, 56, 3083–3087 (2007).
H.-L. Li and S.-Z. Yang, Europhys. Lett., 79, 20001 (2007).
S.-Z. Yang and Q.-Q. Jiang, Internat. J. Theoret. Phys., 46, 2138–2145 (2007).
J. M. Maldacena, Adv. Theor. Math. Phys., 2, 231–252 (1998).
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B, 428, 105–114 (1998).
B. Carter, Comm. Math. Phys., 10, 280–310 (1968).
S. Das and R. B. Mann, JHEP, 0008, 033 (2000); arXiv:hep-th/0008028v1 (2000).
R. Di Criscienzo, M. Nadalini, L. Vanzo, S. Zerbini, and G. Zoccatelli, Phys. Lett. B, 657, 107–111 (2007); arXiv:0707.4425v3 [hep-th] (2007).
H.-L. Li, S.-Z. Yang, T.-J. Zhou, and R. Lin, Europhys. Lett., 84, 20003 (2008).
K. A. Bronnikov, E. Elizalde, S. D. Odintsov, and O. B. Zaslavskii, Phys. Rev. D, 78, 064049 (2008); arXiv:0805.1095v2 [gr-qc] (2008). 1444
Author information
Authors and Affiliations
Corresponding author
Additional information
Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 1, pp. 136–144, October, 2009.
Rights and permissions
About this article
Cite this article
Li, HL., Lin, R., Zhou, TJ. et al. Hawking radiation as tunneling with back-reaction for the Kerr-anti-de Sitter black hole. Theor Math Phys 161, 1438–1444 (2009). https://doi.org/10.1007/s11232-009-0130-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-009-0130-3