Divergences problem in black hole brick-wall model

Abstract

In this work we review, in the framework of the so-called brick wall model, the divergence problem arising in the one loop calculations of various thermodynamical quantities, like entropy, internal energy and heat capacity. Particularly we find that, if one imposes that entanglement entropy is equal to the Bekenstein-Hawking one, the model gives problematic results. Then a proposal of solution to the divergence problem is made following the zeroth law of black hole mechanics.

19 pages, reviseted-extended version accepted by Phys. Rev. D

References in corpus (9)

• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
• Dynamical Origin of the Entropy of a Black Hole
• On one-loop renormalization of black-hole entropy
• On "Non-Geometric" Contribution To The Entropy Of Black Hole Due To Quantum Corrections
• Wavefunction of a Black Hole and the Dynamical Origin of Entropy
• A Note on Hartle-Hawking Vacua
• Why the Entropy of a Black Hole is $A/4$?
• Black-hole thermodynamics and renormalization

Cited by in corpus (15)

• Thermal Fields, Entropy, and Black Holes
• Black holes, brick walls and the Boulware state
• Effect of spins on the quantum entropy of black holes
• Black Hole Entropy: Off-Shell vs On-Shell
• Entropy and Topology for Gravitational Instantons
• Quantum entropy of the Kerr black hole arising from gravitational perturbation
• Quantum entropy of the general non-extreme stationary axisymmetric black hole due to minimally coupled quantum scalar field
• Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons
• Entanglement entropy of two-dimensional Anti-de Sitter black holes
• Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamics
• Hawking Radiation Entropy and Horizon Divergences
• Hartle-Hawking state is a maximum of entanglement entropy
• Can the "brick wall" model present the same results in different coordinate representations?
• From spacetime thermodynamics to Weyl transverse gravity
• On Quantum Radiation in Curved Spacetime