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Corrected entropy of the rotating black hole solution of the new massive gravity using the tunneling method and Cardy formula

Behrouz Mirza^* and Zeinab Sherkatghanad^†

Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran

^*b.mirza@cc.iut.ac.ir
^†z.sherkat@ph.iut.ac.ir

Phys. Rev. D 83, 104001 – Published 2 May, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.104001

Abstract

We study the AdS rotating black hole solution for the Bergshoeff-Hohm-Townsend massive gravity in three dimensions. The field equations of the asymptotically AdS black hole of the static metric can be expressed as the first law of thermodynamics, i.e. $d E = T d S - P d V$ . The corrected Hawking-like temperature and entropy of the asymptotically AdS rotating black hole are calculated using the Cardy formula and the tunneling method. Comparison of these methods will help identify the unknown leading correction parameter $β_{1}$ in the tunneling method.

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References (32)

S. W. Hawking, Nature (London) 248, 30 (1974).
S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).
J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973).
Rong-Gen Cai and Sang Pyo Kim, J. High Energy Phys. 02 (2005) 050.
D. V. Fursaev, Phys. Rev. D 51, R5352 (1995); R. B. Mann and S. N. Solodukhin, Nucl. Phys. B523, 293 (1998).
R. K. Kaul and P. Majumdar, Phys. Rev. Lett. 84, 5255 (2000).
S. Carlip, Classical Quantum Gravity 17, 4175 (2000); M. R. Setare, Eur. Phys. J. C 33, 555 (2004).
R. Banerjee and B. R. Majhi, J. High Energy Phys. 06 (2008) 095; B. R. Majhi, Phys. Rev. D 79, 044005 (2009).
V. Akhmedova et al., Phys. Lett. B 666, 269 (2008); E. T. Akhmedov et al., Int. J. Mod. Phys. D 17, 2453 (2008); arXiv:0805.2653; D. Singleton et al., J. High Energy Phys. 08 (2010) 089.
K. A. Meissner, Classical Quantum Gravity 21, 5245 (2004).
S. M. Modak, Phys. Rev. B 671, 167 (2009).
M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000); M. K. Parikh, Int. J. Mod. Phys. D 13, 2351 (2004).
R. Kerner and R. B. Mann, Phys. Rev. D 73, 104010 (2006).
E. A. Bergshoeff, O. Hohm, and P. K. Townsend, Phys. Rev. Lett. 102, 201301 (2009).
M. Nakasone and I. Oda, Prog. Theor. Phys. 121, 1389 (2009).
I. Oda, J. High Energy Phys. 05 (2009) 064.
Ran Li, Shi Li, and Ji-Rong Ren, Classical Quantum Gravity 27, 155011 (2010).
Yan Liu and Ya-Wen Sun, J. High Energy Phys. 05 (2009) 039; 04 (2009) 106.
S. Deser, R. Jackiw, and G.’t Hooft, Ann. Phys. (N.Y.) 152, 220 (1984); J. D. Brown, “Lower Dimensional Gravity”, S. Deser and P. O. Mazur, Classical Quantum Gravity 2, L51 (1985); C. Martinez, C. Teitelboim, and J. Zanelli, Phys. Rev. D 61, 104013 (2000).
J. Oliva, D. Tempo, and R. Troncoso, J. High Energy Phys. 07 (2009) 011.
M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992).
R. Banerjee and B. R. Majhi, Phys. Lett. B 674, 218 (2009).
R. Banerjee and S. K. Modak, J. High Energy Phys. 11 (2009) 073.
R. Banerjee and S. K. Modak, J. High Energy Phys. 05 (2009) 063.
M. Banados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D 48, 1506 (1993).
G. Giribet, J. Oliva, D. Tempo, and R. Troncoso, Phys. Rev. D 80, 124046 (2009); G. Giribet and M. Leston, J. High Energy Phys. 09 (2010) 070.
M. Akbar, Chin. Phys. Lett. 24, 1158 (2007); M. Akbar and A. Siddiqui, Phys. Lett. B 656, 217 (2007).
R. M. Wald, Phys. Rev. D 48, 3427 (1993).
T. Jacobson, G. King, and R. C. Myers, Phys. Rev. D 49, 6587 (1994).
R. Aros, D. E. Diaz, and A. Montecinos, J. High Energy Phys. 07 (2010) 012.
F. Caravelli and L. Modesto, arXiv:1001.4364.
S. Carlip, arXiv:0807.4192.

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Corrected entropy of the rotating black hole solution of the new massive gravity using the tunneling method and Cardy formula

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