Abstract
In this paper we generalize the results of Guica et al. (2008) [M. Guica, T. Hartman, W. Song, A. Strominger, arXiv:0809.4266 [hep-th]] to 5-dimensional Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. Due to the attractor mechanism, the near horizon geometry of extremal black holes is universal and is determined by only the charge parameters. In particular, we study a class of near horizon geometries that contain an AdS 2 × S 2 factor after Kaluza–Klein reduction. In this way we obtain the microscopic entropy of Gutowski–Reall black hole. We also point out a possible connection with the AdS 2 / CFT 1 correspondence.
Highlights
The Kerr/CFT correspondence [1] has been used extensively to understand the statistical entropy of stationary extremal black holes
There is an AdS2 in the near horizon geometry of GR black hole and obtain the KK reduction to four dimensions
We see that the generators of the Virasoro algebra act on only φ-direction in the dual boundary field theory
Summary
The Kerr/CFT correspondence [1] has been used extensively to understand the statistical entropy of stationary extremal black holes. We use the entropy function formalism [16, 15, 17] to explicitly show that the entropy is independent of the asymptotic values of the scalars Based on these observations, we argue that the Kerr/CFT correspondence can be generalized to a large class of black holes. This analysis suggets a possible connection with the AdS2/CF T1 duality.
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