Entropy of the BTZ Black Hole in 2+1 Dimensions

Abstract

We semi-classically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass and the angular momentum of the black hole. It is shown that the superradiant scattering modes give the sub-leading order contribution to the entropy while the non-superradiant modes give the leading order one, and thus superradiant effect is minor.

13 pages, latex, no figures, superradiant part and many divergences are seriously reconsidered

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• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• Entropy of a charged black hole in two dimensions without cutoff
• Gravitationally Collapsing Shells in (2+1) Dimensions
• Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
• Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
• Superradiance and the Statistical-Mechanical Entropy of Rotating BTZ Black Holes
• Effects of Noncommutativity on the Black Hole Entropy
• Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons
• Reissner-Nordström-AdS black hole in the GEMS approach
• Entropy of a Kerr-de Sitter black hole due to arbitrary spin fields
• Sub-leading contributions to the black hole entropy in the brick wall approach
• Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamics
• Entropy of the Randall-Sundrum black brane world in the brick-wall method
• Statistical Mechanics on Axially-symmetric Space-times with the Killing Horizon and Entropy of Rotating Black Holes in Induced Gravity
• Scalar Field Contribution to Rotating Black Hole Entropy
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Thermodynamics of warped AdS${}_3$ black hole in the brick wall method
• Higher dimensional flat embeddings of (2+1) dimensional black holes
• Higher dimensional flat embeddings of black strings in (2+1) dimensions
• Scalar Fields in BTZ Black Hole Spacetime and Entanglement Entropy
• Brick Walls on the Brane
• Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime
• Global embeddings of scalar-tensor theories in (2+1)-dimensions
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Entropy of the FRW cosmology based on the brick wall method
• Eigenvalue Problem of Scalar Fields in BTZ Black Hole Spacetime
• Rotating Black Hole Entropy from Two Different Viewpoints
• Entropy of the FRW universe based on the generalized uncertainty principle
• Noncommutativity and the Weak Cosmic Censorship
• Power Law Corrections to BTZ Black Hole Entropy
• Quantum space and quantum completeness
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Higher order WKB corrections to black hole entropy in brick wall formalism
• Free-fall Rainbow BTZ Black Hole
• Entropy of BTZ black strings in the brick wall approach
• Duality of Quasilocal Black Hole Thermodynamics
• Generalized Area Law under Multi-parameter Rotating Black Hole Spacetime
• Chiral black hole in three-dimensional gravitational Chern-Simons