On Euclidean and Noetherian Entropies in AdS Space

dc.creatorDutta, Suvankar
dc.creatorGopakumar, Rajesh
dc.date2006-04-10
dc.date2006-05-09
dc.date.accessioned2026-07-07T10:46:24Z
dc.date.available2026-07-07T10:46:24Z
dc.descriptionWe examine the Euclidean action approach, as well as that of Wald, to the entropy of black holes in asymptotically $AdS$ spaces. From the point of view of holography these two approaches are somewhat complementary in spirit and it is not obvious why they should give the same answer in the presence of arbitrary higher derivative gravity corrections. For the case of the $AdS_5$ Schwarzschild black hole, we explicitly study the leading correction to the Bekenstein-Hawking entropy in the presence of a variety of higher derivative corrections studied in the literature, including the Type IIB $R^4$ term. We find a non-trivial agreement between the two approaches in every case. Finally, we give a general way of understanding the equivalence of these two approaches.
dc.description36 pages, 1 figure, LaTex, v2: references added as well as clarificatory remarks in the introduction
dc.identifierhttps://arxiv.org/abs/hep-th/0604070
dc.identifierhttp://arxiv.org/abs/hep-th/0604070
dc.identifierPhys.Rev.D74:044007,2006
dc.identifierdoi:10.1103/PhysRevD.74.044007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183220
dc.subjectHigh Energy Physics - Theory
dc.titleOn Euclidean and Noetherian Entropies in AdS Space
dc.typetext

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