Black hole conserved charges in generalized minimal massive gravity. (English) Zbl 1330.83026
Summary: In this paper we construct mass, angular momentum and entropy of black hole solution of Generalized Minimal Massive Gravity (GMMG) in asymptotically Anti-de Sitter (AdS) spacetimes. The Generalized Minimal Massive Gravity theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. We apply our result for conserved charge \(Q^\mu(\overline{\xi})\) to the rotating BTZ black hole solution of GMMG, and find energy, angular momentum and entropy. Then we show that our results for these quantities are consistent with the first law of black hole thermodynamics.
MSC:
| 83C57 | Black holes |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 80A10 | Classical and relativistic thermodynamics |
References:
| [1] | Deser, S.; Jackiw, R.; ’t Hooft, G., Ann. Phys., 152, 220 (1984) |
| [2] | Deser, S.; Jackiw, R., Ann. Phys., 153, 405 (1984) |
| [3] | Deser, S.; Jackiw, R.; Templeton, S., Ann. Phys., 281, 409 (2000), (Erratum) |
| [4] | Moussa, K. A.; Clement, G.; Leygnac, C., Class. Quantum Gravity, 20, L277 (2003) · Zbl 1043.83021 |
| [5] | Bergshoeff, E.; Hohm, O.; Merbis, W.; Routh, A. J.; Townsend, P. K., Class. Quantum Gravity, 31, 145008 (2014) · Zbl 1297.83011 |
| [6] | Yekta, D. M. |
| [7] | Setare, M. R. |
| [8] | Bergshoeff, E. A.; Hohm, O.; Townsend, P. K., Phys. Rev. Lett., 102, 201301 (2009) |
| [9] | Abbott, L. F.; Deser, S., Nucl. Phys. B, 195, 76 (1982) · Zbl 0900.53033 |
| [10] | Arnowitt, R. L.; Deser, S.; Misner, C. W., Gen. Relativ. Gravit., 40, 1997 (2008) · Zbl 1152.83320 |
| [11] | Deser, S.; Tekin, B., Phys. Rev. Lett., 89, 101101 (2002) · Zbl 1267.83086 |
| [12] | Deser, S.; Tekin, B., Phys. Rev. D, 67, 084009 (2003) |
| [13] | Brown, J. D.; York, J. W., Phys. Rev. D, 47, 1407 (1993) |
| [14] | Kim, W.; Kulkarni, S.; Yi, S. H., Phys. Rev. Lett., 111, 081101 (2013) |
| [15] | Kim, W.; Kulkarni, S.; Yi, S. H., Phys. Rev. D, 88, 124004 (2013) |
| [16] | Bouchareb, A.; Clement, G., Class. Quantum Gravity, 24, 5581 (2007) · Zbl 1148.83320 |
| [17] | Hyun, S.; Jeong, J.; Park, S. A.; Yi, S. H. |
| [18] | Clement, G., Phys. Rev. D, 49, 5131 (1994) |
| [19] | Clement, G., Class. Quantum Gravity, 11, L115 (1994) · Zbl 0790.53075 |
| [20] | Anninos, D.; Li, W.; Padi, M.; Song, W.; Strominger, A., J. High Energy Phys., 0903, 130 (2009) |
| [21] | Miskovic, O.; Olea, R., J. High Energy Phys., 0912, 046 (2009) |
| [22] | Giribet, G.; Leston, M., J. High Energy Phys., 1009, 070 (2010) |
| [23] | Hohm, O.; Tonni, E., J. High Energy Phys., 1004, 093 (2010) |
| [24] | Nam, S.; Park, J. D.; Yi, S. H., J. High Energy Phys., 1007, 058 (2010) |
| [25] | Nam, S.; Park, J. D.; Yi, S. H., Phys. Rev. D, 82, 124049 (2010) |
| [26] | Balasubramanian, V.; Kraus, P., Commun. Math. Phys., 208, 413 (1999) · Zbl 0946.83013 |
| [27] | Senturk, C.; Sisman, T. C.; Tekin, B., Phys. Rev. D, 86, 124030 (2012) |
| [28] | Boulware, D. G.; Deser, S., Phys. Rev. Lett., 55, 2656 (1985) |
| [29] | Tekin, B., Phys. Rev. D, 90, 081701 (2014) |
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