Park, Mu-In Fate of three-dimensional black holes coupled to a scalar field and the Bekenstein-Hawking entropy. (English) Zbl 1123.83304 Phys. Lett., B 597, No. 2, 237-242 (2004). Summary: A three-dimensional black hole coupled to a self-interacting scalar field is considered. It is known that its statistical entropy à la Strominger does not agree with the Bekenstein-Hawking (BH) entropy. However, I show that, by a careful treatment of the vacuum state in the canonical ensemble with a fixed temperature, which is the same as that of the BTZ black hole without the scalar field, the BH entropy may be exactly produced by Cardy’s formula. I discuss its several implications, including the fate of black holes, no-scalar-hair theorems, stability, mirror black holes, and higher-order corrections to the entropy. Cited in 7 Documents MSC: 83C57 Black holes PDFBibTeX XMLCite \textit{M.-I. Park}, Phys. Lett., B 597, No. 2, 237--242 (2004; Zbl 1123.83304) Full Text: DOI arXiv References: [1] Aharony, O.; Gubser, S. S.; Maldacena, J.; Ooguri, H.; Oz, Y., Phys. Rep., 323, 183 (2000), and references therein [2] Banados, M.; Teitelboim, C.; Zanelli, J., Phys. Rev. Lett., 69, 1849 (1992) [3] Brown, J. D.; Henneaux, M., Commun. Math. Phys., 104, 207 (1986) [4] Park, M.-I., Nucl. Phys. B, 544, 377 (1999) [5] Banados, M.; Brotz, T.; Ortiz, M., Nucl. Phys. B, 545, 340 (1999) [6] Cardy, J. A., Nucl. Phys. B, 270, 186 (1986) [7] Strominger, A., JHEP, 9802, 009 (1998) [8] Sfetsos, K.; Skenderis, K., Nucl. Phys. B, 517, 179 (1998) [9] Natsuume, M.; Okamura, T., Phys. Rev. D, 62, 064027 (2000) [10] Henneaux, M.; Marti´nez, C.; Troncoso, R.; Zanelli, J., Phys. Rev. D, 65, 104007 (2002) [11] Gegenberg, J.; Marti´nez, C.; Troncoso, R., Phys. Rev. D, 67, 084007 (2003) [12] Marti´nez, C.; Zanelli, J., Phys. Rev. D, 54, 3830 (1996) [13] Schuster, E., Acta Phil. Vald., 19, 31 (1877) [14] Callan, C. G.; Coleman, S., Phys. Rev. D, 16, 1762 (1977) [15] Carlip, S., Class. Quantum Grav., 16, 3327 (1999) [16] Park, M.-I., Nucl. Phys. B, 634, 339 (2002) [17] Park, M.-I., Phys. Lett. B, 440, 275 (1998) [18] Carlip, S., Class. Quantum Grav., 15, 3609 (1998) [19] Banados, M., Phys. Rev. Lett., 82, 2030 (1999) [20] Cho, J.-H.; Nam, S., J. Korean Phys. Soc., 43, 461 (2003) [21] David, J. R.; Mandal, J.; Vaidya, S.; Wadia, S. R., Nucl. Phys. B, 564, 128 (2000) [22] Bekenstein, J. D., Phys. Rev. D, 5, 1239 (1972) [23] Bekenstein, J. D., Phys. Rev. D, 51, R6608 (1995) [24] Winstanley, E. W., Found. Phys., 33, 111 (2003), and references therein [25] Mezincescu, L.; Townsend, P. K., Ann. Phys. (N.Y.), 160, 406 (1985) [26] Marti´nez, C., Phys. Rev. D, 58, 027501 (1998) [27] Park, M.-I. [28] Myung, Y. S., Phys. Lett. B, 579, 205 (2004) [29] Carlip, S., Phys. Rev. Lett., 83, 5596 (1999) [30] Park, M.-I.; Yee, J. H., Phys. Rev. D, 61, 088501 (2000) [31] Kang, G.; Koga, J.-I.; Park, M.-I. [32] Chen, Y., Class. Quantum Grav., 21, 1153 (2004) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.