BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal

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dc.creatorPark, Mu-in
dc.date2006-09-04
dc.date2008-04-21
dc.date.accessioned2026-07-07T11:43:54Z
dc.date.available2026-07-07T11:43:54Z
dc.descriptionI consider the thermodynamics of the BTZ black hole in the presence of the higher curvature and gravitational Chern-Simons terms, and its statistical entropy. I propose a new thermodynamical entropy, which being {\it non-negative} manifestly, such as the second law, as well as the first law, of thermodynamics is satisfied. I show that the new \therl entropy agrees perfectly with the statistical entropy for $all$ the values of the conformal factor of the higher curvature terms and the coupling constant of the gravitational Chern-Simons term, in contrast to some disagreements in the literatures. The agreement with both the higher curvature and gravitational Chern-Simons terms is possible because of an appropriate balancing of them, though it is not a trivial matter because of a conflict in the appropriate Hilbert space for a well-defined conformal field theory for each term.
dc.descriptionFootnote 8 is rewritten, typos corrected, references updated, accpeted in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0609027
dc.identifierhttp://arxiv.org/abs/hep-th/0609027
dc.identifierPhys.Rev.D77:126012,2008
dc.identifierdoi:10.1103/PhysRevD.77.126012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201414
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
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