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

Cited by in corpus (30)

• Black Hole Entropy in the presence of Chern-Simons Terms
• Black Hole Microstates and Attractor Without Supersymmetry
• Warped AdS_3 black holes in new massive gravity
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• 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 $Ad{S}_3$
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Corrections to the statistical entropy of five dimensional black holes
• One entropy function to rule them all
• New attractor mechanism for spherically symmetric extremal black holes
• Moduli and (un)attractor black hole thermodynamics
• Fundamental Superstrings as Holograms
• Can Hawking temperatures be negative ?
• Entropy of an extremal regular black hole
• Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• 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
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• Charges from Attractors
• Absorption cross section in warped AdS_3 black hole revisited
• AdS_3, Black Holes and Higher Derivative Corrections
• Supersymmetric black holes in string theory
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term
• Topologically massive gravity on AdS${}_2$ spacetimes
• Notes on the Area Theorem
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes