Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity

Details Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity

2009-09-14

arxiv.org/abs/0909.2564v1

Phys.Rev.D80:124046,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures

Scientific paper

10.1103/PhysRevD.80.124046

Asymptotically AdS rotating black holes for the Bergshoeff-Hohm-Townsend (BHT) 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 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 BHT 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.

Affiliated with

Also associated with

No associations

Rating

Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564968