Covariant description of the black hole entropy in 3D gravity

Abstract

We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary conditions. The correct value for the black hole entropy is obtained provided the black hole manifold has two boundaries, one at infinity and one at the horizon. However, one can construct special coordinate systems, in which the entropy is effectively associated with only one of these boundaries.

12 pages, LaTeX, v2: new material in section IV clarifies the effects pertaining to the use of different coordinate systems

References in corpus (3)

• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• On boundary conditions in three-dimensional AdS gravity
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion

Cited by in corpus (7)

• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Three-dimensional supergravity reloaded
• Three-dimensional non-relativistic supergravity and torsion
• Supersymmetric 3D gravity with torsion: asymptotic symmetries
• Three-dimensional teleparallel Chern-Simons supergravity theory
• Stability of 3D black hole with torsion
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion