Thermodynamics of warped AdS${}_3$ black hole in the brick wall method

Abstract

The statistical entropy of a scalar field on the warped AdS${}_3$ black hole in the cosmological topologically massive gravity is calculated based on the brick-wall method, which is different from the Wald's entropy formula giving the modified area law due to the higher-derivative corrections in that the entropy still satisfies the area law. It means that the entropy for scalar excitations on this background is independent of higher-order derivative terms or the conventional brick wall method has some limitations to take into account the higher-derivative terms.

12 pages, 1 figure; v2. to appear in Phys. Lett. B; v3. typos corrected

References in corpus (19)

• Chiral Gravity in Three Dimensions
• Instability in cosmological topologically massive gravity at the chiral point
• Black hole mass and angular momentum in topologically massive gravity
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Topologically Massive AdS Gravity
• On the Thermodynamic Geometry of BTZ Black Holes
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• The Constraint Algebra of Topologically Massive AdS Gravity
• Three-dimensional Chern-Simons black holes
• Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
• Topologically Massive Gravity at the Chiral Point is Not Unitary
• Centrally extended symmetry algebra of asymptotically Goedel spacetimes
• A Simple Proof of the Chiral Gravity Conjecture
• Quasi-Normal Modes in Topologically Massive Gravity
• Absorption Cross Section in Warped AdS${}_3$ Black Hole
• AdS_3, Black Holes and Higher Derivative Corrections
• Entropy of the FRW cosmology based on the brick wall method
• Entropy of BTZ black strings in the brick wall approach

Cited by in corpus (15)

• On the Generalized Massive Gravity in $Ad{S}_3$
• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
• Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
• Quasinormal modes of warped $Ad{S}_3$ black holes and AdS/CFT correspondence
• Entropy and temperatures of Nariai black hole
• Gravity duals for logarithmic conformal field theories
• Scalar field dynamics in warped AdS_3 black hole background
• Quasinormal modes of a scalar perturbation coupling with Einstein's tensor in the warped $Ad{S}_3$ black hole spacetime
• Gauss-Bonnet black holes in (2+1) dimensions: Perturbative aspects and entropy features
• Two critical phenomena in the exactly soluble quantized Schwarzschild black hole
• Thermodynamic phase transition based on the non-singular temperature
• Stability of warped AdS3 black holes in Topologically Massive Gravity under scalar perturbations
• Thermodynamic Stability of Warped AdS3 Black Holes
• Absorption cross section in the topologically massive gravity at the critical point
• Chiral black hole in three-dimensional gravitational Chern-Simons