Sub-leading contributions to the black hole entropy in the brick wall approach

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dc.creatorSarkar, Sudipta
dc.creatorShankaranarayanan, S.
dc.creatorSriramkumar, L.
dc.date2007-10-10
dc.date2008-06-01
dc.date.accessioned2026-07-07T11:37:58Z
dc.date.available2026-07-07T11:37:58Z
dc.description[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.
dc.description21 pages, Revtex 4; Final verson - 22 pages, References added, Accepted in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0710.2013
dc.identifierhttp://arxiv.org/abs/0710.2013
dc.identifierPhys.Rev.D78:024003,2008
dc.identifierdoi:10.1103/PhysRevD.78.024003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199396
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleSub-leading contributions to the black hole entropy in the brick wall approach
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