Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-10
Phys.Rev.D74:044007,2006
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 1 figure, LaTex, v2: references added as well as clarificatory remarks in the introduction
Scientific paper
10.1103/PhysRevD.74.044007
We 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.
Dutta Suvankar
Gopakumar Rajesh
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