BTZ Black Hole with Chern-Simons and Higher Derivative Terms

Abstract

The entropy of a BTZ black hole in the presence of gravitational Chern-Simons terms has previously been analyzed using Euclidean action formalism. In this paper we treat the BTZ solution as a two dimensional black hole by regarding the angular coordinate as a compact direction, and use Wald's Noether charge method to calculate the entropy of this black hole in the presence of higher derivative and gravitational Chern-Simons terms. The parameters labelling the black hole solution can be determined by extremizing an entropy function whose value at the extremum gives the entropy of the black hole.

LaTeX file, 11 pages

References in corpus (13)

• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Black Hole Entropy from Near-Horizon Microstates
• AdS3 Black Holes and a Stringy Exclusion Principle
• On Black Hole Entropy
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Relating black holes in two and three dimensions
• Entropy Function for Heterotic Black Holes
• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity

Cited by in corpus (84)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Chiral Gravity in Three Dimensions
• Rotating Attractors
• Asymptotic charged BTZ black hole solutions
• Black Hole Entropy in the presence of Chern-Simons Terms
• Entanglement Entropy in Flat Holography
• Black Hole Microstates and Attractor Without Supersymmetry
• On the Thermodynamic Geometry of BTZ Black Holes
• Warped AdS_3 black holes in new massive gravity
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Supersymmetric Index from Black Hole Entropy
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Holographic entanglement entropy and gravitational anomalies
• Inner Mechanics of 3d Black Holes
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• On the Generalized Massive Gravity in $Ad{S}_3$
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• CFT Duals for Attractor Horizons
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Precision Entropy of Spinning Black Holes
• Charged BTZ-like Black Holes in Higher Dimensions
• Corrections to the statistical entropy of five dimensional black holes
• Quasilocal Conserved Charges with a Gravitational Chern-Simons Term
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• One entropy function to rule them all
• Moduli and (un)attractor black hole thermodynamics
• New attractor mechanism for spherically symmetric extremal black holes
• Fundamental Superstrings as Holograms
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
• Can Hawking temperatures be negative ?
• Entropy of an extremal regular black hole
• Aspects of Warped AdS${}_3$/CFT${}_2$ Correspondence
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory
• BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
• On Entropy Function for Supersymmetric Black Rings
• Entropy Function for Non-Extremal Black Holes in String Theory
• Entropy function for rotating extremal black holes in very special geometry
• Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Central Charges in 2d Reduced Cosmological Massive Gravity
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Two-charge small black hole entropy: String-loops and multi-strings
• State-space Correlations and Stabilities
• Note on Chern-Simons Term Correction to Holographic Entanglement Entropy
• Charges from Attractors
• Exact charges from heterotic black holes
• Thermodynamics of warped AdS${}_3$ black hole in the brick wall method
• Absorption cross section in warped AdS_3 black hole revisited
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• (2+1)-dimensional solutions in $F(R)$ gravity
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• 2D Gravity on $Ad{S}_2$ with Chern-Simons Corrections
• Entropy Functions with 5D Chern-Simons terms
• AdS_3, Black Holes and Higher Derivative Corrections
• Conductivities from attractors
• Supersymmetric black holes in string theory
• Covariant Noether Charge for Higher Dimensional Chern-Simons Terms
• Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term
• The world-sheet corrections to dyons in the Heterotic theory
• Topologically massive gravity on AdS${}_2$ spacetimes
• Entropy function approach to charged BTZ black hole
• Near-Extremal Limits of Warped Black Holes
• Notes on the Area Theorem
• On Hybrid (Topologically) Massive Supergravity in Three Dimensions
• Statistical entropy of a BTZ black hole in topologically massive gravity
• AdS_3 backgrounds from 10D effective action of heterotic string theory
• Double-Horizon Limit and Decoupling of the Dynamics at the Horizon
• Attractor Mechanism and Non-Renormalization Theorem in 6D (1,0) Supergravity
• Critical gravity on AdS2 spacetimes
• Stringy effects in black hole decay
• Entropy-current for dynamical black holes in Chern-Simons theories of gravity
• Near-extremal dynamics away from the horizon
• Nonpropagation of massive mode on AdS2 in topologically massive gravity
• The fate of flat directions in higher derivative gravity
• Generalized Massive Gravity and Galilean Conformal Algebra in two dimensions
• Super Virasoro Algebras From Chiral Supergravity
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity
• Holographic Entanglement Entropy in flat limit of the Generalized Minimal Massive Gravity model