Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole

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dc.creatorGovindarajan, T. R.
dc.creatorKaul, R. K.
dc.creatorSuneeta, V.
dc.date2001-04-03
dc.date2001-05-09
dc.date.accessioned2026-07-07T11:29:52Z
dc.date.available2026-07-07T11:29:52Z
dc.descriptionWe derive an exact expression for the partition function of the Euclidean BTZ black hole. Using this, we show that for a black hole with large horizon area, the correction to the Bekenstein-Hawking entropy is $-3/2 log(Area)$, in agreement with that for the Schwarzschild black hole obtained in the canonical gravity formalism and also in a Lorentzian computation of BTZ black hole entropy. We find that the right expression for the logarithmic correction in the context of the BTZ black hole comes from the modular invariance associated with the toral boundary of the black hole.
dc.descriptionLaTeX, 10 pages, typos corrected, clarifications added
dc.identifierhttps://arxiv.org/abs/gr-qc/0104010
dc.identifierhttp://arxiv.org/abs/gr-qc/0104010
dc.identifierClass.Quant.Grav.18:2877-2886,2001
dc.identifierdoi:10.1088/0264-9381/18/15/303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196856
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleLogarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
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