Sub-leading contributions to the black hole entropy in the brick wall approach
arXiv:0710.2013 · doi:10.1103/PhysRevD.78.024003
Abstract
[Abridged] We compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders (in fact, up to the sixth order in \hbar) in the WKB approximation. We explicitly show that the brick wall model generally predicts corrections to the Bekenstein-Hawking entropy in all spacetime dimensions. In four dimensions, we find that the corrections to the Bekenstein-Hawking entropy are of the form (A^n \log A), while, in six dimensions, the corrections behave as (A^m + A^n \log A), where A denotes the area of the black hole event horizon, and (m, n) < 1. We compare our results with the corrections to the Bekenstein-Hawking entropy that have been obtained through the other approaches in the literature, and discuss the implications.
arXiv comment21 pages, Revtex 4; Final verson - 22 pages, References added, Accepted in Phys. Rev. D
References in corpus (36)
- The Black Hole in Three Dimensional Space Time
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black Hole Entropy is Noether Charge
- Entropy and Area
- Geometry of the 2+1 Black Hole
- Quantum Geometry and Black Hole Entropy
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Logarithmic correction to the Bekenstein-Hawking entropy
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- General Logarithmic Corrections to Black Hole Entropy
- The scattering matrix approach for the quantum black hole, an overview
- Black Hole Entropy without Brick Walls
- Thermal Fields, Entropy, and Black Holes
- Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
- Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity
- Power-law corrections to entanglement entropy of horizons
- Near-Horizon Conformal Symmetry and Black Hole Entropy
- Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics
- Entropy for extremal Reissner- Nordstrøm black holes
- Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
- Electromagnetic fields in Schwarzschild and Reissner-Nordström geometry. Quantum corrections to the black hole entropy
- Black holes, brick walls and the Boulware state
- Entropy in the Kerr-Newman Black Hole
- Black hole entropy: statistical mechanics agrees thermodynamics
- Black Hole Entropy: Off-Shell vs On-Shell
- How robust is the entanglement entropy-area relation?
- Entropy of the BTZ Black Hole in 2+1 Dimensions
- Renormalized black hole entropy in anti-de Sitter space via the "brick wall" method
- Black hole entropy calculations based on symmetries
- High-Order Corrections to the Entropy and Area of Quantum Black Holes
- Renormalized Thermodynamic Entropy of Black Holes in Higher Dimensions
- Semiclassical quantisation of space-times with apparent horizons
- Non-minimal coupling and quantum entropy of black hole
- Superradiance and the Statistical-Mechanical Entropy of Rotating BTZ Black Holes
- Hidden Degeneracy in the Brick Wall Model of Black Holes
- Entropy of BTZ black strings in the brick wall approach
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- Glassy Phase Transition and Stability in Black Holes
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- Signature of Non-uniform Area Quantization on Black Hole Echoes
- Noncommutativity and logarithmic correction to the black hole entropy
- Entropy and temperatures of Nariai black hole
- Entanglement entropy in all dimensions
- Noncommutative correction to the entropy of charged BTZ black hole
- Higher order WKB corrections to black hole entropy in brick wall formalism
- GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
- Revision of the brick wall method for calculating the black hole thermodynamic quantities
- Entropy of black holes, charged probes and noncommutative generalization
- The Thermodynamic Properties of Warped Taub-NUT AdS Black String
- Signature of Non-uniform Area Quantization on Gravitational Waves
- Thermodynamics of Black Holes: Semi-Classical Approaches and Beyond