Entropy for Asymptotically AdS_3 Black Holes

Abstract

We propose that Strominger's method to derive the BTZ black hole entropy is in fact applicable to other asymptotically AdS_3 black holes and gives the correct functional form of entropies. We discuss various solutions in the Einstein-Maxwell theory, dilaton gravity, Einstein-scalar theories, and Einstein-Maxwell-dilaton theory. In some cases, solutions approach AdS_3 asymptotically, but their entropies do not have the form of Cardy's formula. However, it turns out that they are actually not "asymptotically $Ad{S}_3$" solutions. On the other hand, for truly asymptotically AdS_3 solutions, their entropies have the form of Cardy's formula. In this sense, all known solutions are consistent with our proposal.

21 pages, LaTeX; v2: added discussion for section 3.3

References in corpus (2)

• Entropy from Conformal Field Theory at Killing Horizons
• Three-Dimensional Gravity with Conformal Scalar and Asymptotic Virasoro Algebra

Cited by in corpus (18)

• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• A class of rotating hairy black holes in arbitrary dimensions
• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Rotating hairy black hole and its microscopic entropy in three spacetime dimensions
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Einstein-Born-Infeld black holes with a scalar hair in three-dimensions
• Fate of Three-Dimensional Black Holes Coupled to a Scalar Field and the Bekenstein-Hawking Entropy
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Black Holes with Scalar Hair in Three Dimensions
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Path integral derivation of the Brown-Henneaux central charge
• Hamiltonian thermodynamics of charged three-dimensional dilatonic black holes
• Exact black-hole formation with a conformally coupled scalar field in three dimensions
• Hamiltonian thermodynamics of three-dimensional dilatonic black holes
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Periapsis shift and deflection of light by hairy black holes