Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity

Abstract

For the BTZ black hole in the Einstein gravity, a statistical entropy has been calculated to be equal to the Bekenstein-Hawking entropy. In this paper, the statistical entropy of the BTZ black hole in the higher curvature gravity is calculated and shown to be equal to the one derived by using the Noether charge method. This suggests that the equivalence of the geometrical and statistical entropies of the black hole is retained in the general diffeomorphism invariant theories of gravity. A relation between the cosmic censorship conjecture and the unitarity of the conformal field theory on the boundary of AdS is also discussed.

9 pages, no figure, submitted to Physics Letters B

Cited by in corpus (86)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• More on Massive 3D Gravity
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Asymptotic charged BTZ black hole solutions
• New Boundary Conditions for AdS3
• Holography with Gravitational Chern-Simons Term
• Black Hole Microstates and Attractor Without Supersymmetry
• On the Thermodynamic Geometry of BTZ Black Holes
• Warped AdS_3 black holes in new massive gravity
• Massive 3D Supergravity
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Supersymmetric Index from Black Hole Entropy
• Note on New Massive Gravity in $Ad{S}_3$
• Holographic entanglement entropy and gravitational anomalies
• String Theory Effects on Five-Dimensional Black Hole Physics
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Inner Mechanics of 3d Black Holes
• Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• c-functions in the Born-Infeld extended New Massive Gravity
• The CFT-interpolating Black Hole in Three Dimensions
• Charged BTZ-like Black Holes in Higher Dimensions
• 5D Attractors with Higher Derivatives
• More on Massive 3D Supergravity
• AdS Black Hole Solutions in the Extended New Massive Gravity
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• EVH Black Holes, AdS3 Throats and EVH/CFT Proposal
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Thermal analysis of photon-like particles in rainbow gravity
• Warped black holes in 3D general massive gravity
• Fundamental Superstrings as Holograms
• Beyond Logarithmic Corrections to Cardy Formula
• Joule-Thomson expansion of Lower-dimensional black hole
• Can Hawking temperatures be negative ?
• Aspects of Warped AdS${}_3$/CFT${}_2$ Correspondence
• BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance
• Generalized (2+1) dimensional black hole by Noether symmetry
• Hamiltonian analysis of BHT massive gravity
• Massive N=2 Supergravity in Three Dimensions
• On Critical Massive (Super)Gravity in adS3
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Two-charge small black hole entropy: String-loops and multi-strings
• The entropy formula of black holes in Minimal Massive Gravity and its application for BTZ black holes
• Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
• Holographic c-theorem and Born-Infeld Gravity Theories
• Anomalous dimensions from quantum Wilson lines
• A near-NHEK/CFT correspondence
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• Conserved quantities and Virasoro algebra in New massive gravity
• Asymptotically flat black holes in 2+1 dimensions
• AdS_3, Black Holes and Higher Derivative Corrections
• Four-dimensional black hole entropy from F-theory
• Quantum M-wave and Black 0-brane
• Supersymmetric black holes in string theory
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term
• Massive Three-Dimensional Supergravity From R+R^2 Action in Six Dimensions
• 3D Lovelock Gravity and the Holographic c-Theorem
• Smarr formula for BTZ black holes in general three-dimensional gravity models
• Notes on the Area Theorem
• More on vacua of exotic massive 3D gravity
• Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at the chiral point
• Quasinormal modes and black hole hairs in AdS
• Superconformal Quantum Mechanics from M2-branes
• On the Shape of Things: From holography to elastica
• CFT Duals of Black Rings With Higher Derivative Terms
• Statistical entropy of a BTZ black hole in topologically massive gravity
• R**2 correction to BMPV black hole entropy from Kerr/CFT correspondence
• Near-extremal dynamics away from the horizon
• Holographic anomaly in 3d f(Ric) gravity
• Central charges from Thermodynamics method in 3D gravity
• BTZ Black Holes and Flat Space Cosmologies in Higher Derivative Theories
• Kaluza-Klein Higher Derivative Induced Gravity
• Quantum entropy of supersymmetric black holes
• Super Virasoro Algebras From Chiral Supergravity
• A note on Kerr/CFT and free fields
• Instability of BTZ black holes in parity-even massive gravity