Black Hole Entropy: Off-Shell vs On-Shell

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dc.creatorFrolov, V. P.
dc.creatorFursaev, D. V.
dc.creatorZelnikov, A. I.
dc.date1995-12-22
dc.date1995-12-28
dc.date.accessioned2026-07-07T11:14:48Z
dc.date.available2026-07-07T11:14:48Z
dc.descriptionDifferent methods of calculation of quantum corrections to the thermodynamical characteristics of a black hole are discussed and compared. The relation between on-shell and off-shell approaches is established. The off-shell methods are used to explicitly demonstrate that the thermodynamical entropy $S^{TD}$ of a black hole, defined by the first thermodynamical law, differs from the statistical-mechanical entropy $S^{SM}$, determined as $S^{SM}=-\mbox{Tr}(\hatρ^H\ln\hatρ^H)$ for the density matrix $\hatρ^H$ of a black hole. It is shown that the observable thermodynamical black hole entropy can be presented in the form $S^{TD}=π{\bar r}_+^2+S^{SM}-S^{SM}_{Rindler}$. Here ${\bar r}_+$ is the radius of the horizon shifted because of the quantum backreaction effect, and $S^{SM}_{Rindler}$ is the statistical-mechanical entropy calculated in the Rindler space.
dc.description47 pages, latex, 7 postscript figures have been included since the first submission of the article
dc.identifierhttps://arxiv.org/abs/hep-th/9512184
dc.identifierhttp://arxiv.org/abs/hep-th/9512184
dc.identifierPhys.Rev.D54:2711-2731,1996
dc.identifierdoi:10.1103/PhysRevD.54.2711
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192197
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBlack Hole Entropy: Off-Shell vs On-Shell
dc.typetext

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