Statistical entropy of BTZ black hole in higher curvature gravity. (English) Zbl 0974.83030
Summary: For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated to be equal to the Bekenstein-Hawking entropy. In this paper, the statistical entropy of the BTZ black hole in the higher curvature gravity is calculated and shown to be equal to the one derived by using the Noether charge method. This suggests that the equivalence of the geometrical and statistical entropies of the black hole is retained in the general diffeomorphism invariant theories of gravity. A relation between the cosmic censorship conjecture and the unitarity of the conformal field theory on the boundary of \(\text{AdS}_3\) is also discussed.
MSC:
| 83C57 | Black holes |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 81V17 | Gravitational interaction in quantum theory |
Keywords:
statistical entropy; higher curvature gravity; diffeomorphism invariant theories of gravity; cosmic censorship; conformal field theoryReferences:
| [1] | R. Wald, Phys. Rev. D 48 (1993) R3427; V. Iyer, R. Wald, Phys. Rev. D 50 (1994) 846, Phys. Rev. D 52 (1995) 4430.; R. Wald, Phys. Rev. D 48 (1993) R3427; V. Iyer, R. Wald, Phys. Rev. D 50 (1994) 846, Phys. Rev. D 52 (1995) 4430. |
| [2] | Jacobson, T.; Kang, G.; Myers, R., Phys. Rev. D, 49, 3518 (1994) |
| [3] | Jacobson, T.; Kang, G.; Myers, R., Phys. Rev. D, 52, 3518 (1995) |
| [4] | Brown, J.; Henneaux, M., Commun. Math. Phys., 104, 207 (1986) · Zbl 0584.53039 |
| [5] | Strominger, A., J. High Energy Phys., 9802, 009 (1998), hep-th/9712251 |
| [6] | Bañados, M.; Henneaux, M.; Teitelboim, C.; Zanelli, J., Phys. Rev. D, 48, 1506 (1993) |
| [7] | Coussaert, O.; Henneaux, M., Phys. Rev. Lett, 72, 183 (1994) · Zbl 0973.83530 |
| [8] | Carlip, S., Class. Quantum Grav., 12, 2853 (1995) · Zbl 0839.53071 |
| [9] | Carlip, S., Class. Quantum Grav., 15, 3609 (1998) · Zbl 0946.83030 |
| [10] | See for example: J. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231; E. Witten, Adv. Theor. Math. Phys. 2 (1998) 505; M. Henningson, K. Skenderis, J. High Energy Phys. 9807 (1998) 023.; See for example: J. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231; E. Witten, Adv. Theor. Math. Phys. 2 (1998) 505; M. Henningson, K. Skenderis, J. High Energy Phys. 9807 (1998) 023. |
| [11] | S. Nojiri, S. Odintsov, hep-th/9903033.; S. Nojiri, S. Odintsov, hep-th/9903033. |
| [12] | Cardy, J., Nucl. Phys. B, 270, 186 (1986) · Zbl 0689.17016 |
| [13] | Magnano, G.; Ferraris, M.; Francaviglia, M., General Rel. Grav., 19, 465 (1987) · Zbl 0626.53064 |
| [14] | Magnano, G.; Ferraris, M.; Francaviglia, M., Class. Quantum Grav., 7, 557 (1990) · Zbl 0697.53065 |
| [15] | Carlip, S., Phys. Rev. Lett., 82, 2828 (1999) · Zbl 0949.83043 |
| [16] | See for example: N. Kaloper, Phys. Lett. B 434 (1998) 285; Y. Myung, N. Kim, H. Lee, Mod. Phys. Lett. A 14 (1999) 575; N. Deger, A. Kaya, E. Sezgin, P. Sundell, hep-th/9908089.; See for example: N. Kaloper, Phys. Lett. B 434 (1998) 285; Y. Myung, N. Kim, H. Lee, Mod. Phys. Lett. A 14 (1999) 575; N. Deger, A. Kaya, E. Sezgin, P. Sundell, hep-th/9908089. |
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