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Title: Microscopic entropy of the three-dimensional rotating black hole of Bergshoeff-Hohm-Townsend massive gravity

Abstract

Asymptotically anti-de Sitter rotating black holes for the Bergshoeff-Hohm-Townsend massive gravity theory in three dimensions are considered. In the special case when the theory admits a unique maximally symmetric solution, apart from the mass and the angular momentum, the black hole is described by an independent 'gravitational hair' parameter, which provides a negative lower bound for the mass. This bound is saturated at the extremal case, and since the temperature and the semiclassical entropy vanish, it is naturally regarded as the ground state. The absence of a global charge associated with the gravitational hair parameter reflects itself through the first law of thermodynamics in the fact that the variation of this parameter can be consistently reabsorbed by a shift of the global charges, giving further support to consider the extremal case as the ground state. The rotating black hole fits within relaxed asymptotic conditions as compared with the ones of Brown and Henneaux, such that they are invariant under the standard asymptotic symmetries spanned by two copies of the Virasoro generators, and the algebra of the conserved charges acquires a central extension. Then it is shown that Strominger's holographic computation for general relativity can also be extended to the Bergshoeff-Hohm-Townsendmore » theory; i.e., assuming that the quantum theory could be consistently described by a dual conformal field theory at the boundary, the black hole entropy can be microscopically computed from the asymptotic growth of the number of states according to Cardy's formula, in exact agreement with the semiclassical result.« less

Authors:
 [1];  [2];  [2];  [2]
  1. Center for Cosmology and Particle Physics, New York University, 4 Washington Place NY10003, New York (United States)
  2. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
Publication Date:
OSTI Identifier:
21316546
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.80.124046; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANGULAR MOMENTUM; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; BOUNDARY CONDITIONS; CONFORMAL INVARIANCE; ENTROPY; GENERAL RELATIVITY THEORY; GRAVITATION; GROUND STATES; HOLOGRAPHY; MASS; QUANTUM FIELD THEORY; SEMICLASSICAL APPROXIMATION; SYMMETRY; THERMODYNAMICS; THREE-DIMENSIONAL CALCULATIONS; TOWNSEND DISCHARGE

Citation Formats

Giribet, Gaston, Oliva, Julio, Instituto de Fisica, Facultad de Ciencias, Universidad Austral de Chile, Casilla 567, Valdivia, Tempo, David, Departamento de Fisica, Universidad de Concepcion, Casilla, 160-C, Concepcion, Physique theorique et mathematique, Universite Libre de Bruxelles, ULB Campus Plaine CP 231, B-1050 Bruxelles, Troncoso, Ricardo, and Centro de Ingenieria de la Innovacion del CECS. Microscopic entropy of the three-dimensional rotating black hole of Bergshoeff-Hohm-Townsend massive gravity. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.124046.
Giribet, Gaston, Oliva, Julio, Instituto de Fisica, Facultad de Ciencias, Universidad Austral de Chile, Casilla 567, Valdivia, Tempo, David, Departamento de Fisica, Universidad de Concepcion, Casilla, 160-C, Concepcion, Physique theorique et mathematique, Universite Libre de Bruxelles, ULB Campus Plaine CP 231, B-1050 Bruxelles, Troncoso, Ricardo, & Centro de Ingenieria de la Innovacion del CECS. Microscopic entropy of the three-dimensional rotating black hole of Bergshoeff-Hohm-Townsend massive gravity. United States. https://doi.org/10.1103/PHYSREVD.80.124046
Giribet, Gaston, Oliva, Julio, Instituto de Fisica, Facultad de Ciencias, Universidad Austral de Chile, Casilla 567, Valdivia, Tempo, David, Departamento de Fisica, Universidad de Concepcion, Casilla, 160-C, Concepcion, Physique theorique et mathematique, Universite Libre de Bruxelles, ULB Campus Plaine CP 231, B-1050 Bruxelles, Troncoso, Ricardo, and Centro de Ingenieria de la Innovacion del CECS. Tue . "Microscopic entropy of the three-dimensional rotating black hole of Bergshoeff-Hohm-Townsend massive gravity". United States. https://doi.org/10.1103/PHYSREVD.80.124046.
@article{osti_21316546,
title = {Microscopic entropy of the three-dimensional rotating black hole of Bergshoeff-Hohm-Townsend massive gravity},
author = {Giribet, Gaston and Oliva, Julio and Instituto de Fisica, Facultad de Ciencias, Universidad Austral de Chile, Casilla 567, Valdivia and Tempo, David and Departamento de Fisica, Universidad de Concepcion, Casilla, 160-C, Concepcion and Physique theorique et mathematique, Universite Libre de Bruxelles, ULB Campus Plaine CP 231, B-1050 Bruxelles and Troncoso, Ricardo and Centro de Ingenieria de la Innovacion del CECS},
abstractNote = {Asymptotically anti-de Sitter rotating black holes for the Bergshoeff-Hohm-Townsend massive gravity theory in three dimensions are considered. In the special case when the theory admits a unique maximally symmetric solution, apart from the mass and the angular momentum, the black hole is described by an independent 'gravitational hair' parameter, which provides a negative lower bound for the mass. This bound is saturated at the extremal case, and since the temperature and the semiclassical entropy vanish, it is naturally regarded as the ground state. The absence of a global charge associated with the gravitational hair parameter reflects itself through the first law of thermodynamics in the fact that the variation of this parameter can be consistently reabsorbed by a shift of the global charges, giving further support to consider the extremal case as the ground state. The rotating black hole fits within relaxed asymptotic conditions as compared with the ones of Brown and Henneaux, such that they are invariant under the standard asymptotic symmetries spanned by two copies of the Virasoro generators, and the algebra of the conserved charges acquires a central extension. Then it is shown that Strominger's holographic computation for general relativity can also be extended to the Bergshoeff-Hohm-Townsend theory; i.e., assuming that the quantum theory could be consistently described by a dual conformal field theory at the boundary, the black hole entropy can be microscopically computed from the asymptotic growth of the number of states according to Cardy's formula, in exact agreement with the semiclassical result.},
doi = {10.1103/PHYSREVD.80.124046},
url = {https://www.osti.gov/biblio/21316546}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 80,
place = {United States},
year = {2009},
month = {12}
}