Entropy for Asymptotically AdS_3 Black Holes

Details Entropy for Asymptotically AdS_3 Black Holes Entropy for Asymptotically AdS_3 Black Holes

1999-11-10

arxiv.org/abs/hep-th/9911062v2

Phys.Rev. D62 (2000) 064027

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX; v2: added discussion for section 3.3

Scientific paper

10.1103/PhysRevD.62.064027

We propose that Strominger's method to derive the BTZ black hole entropy is in fact applicable to other asymptotically AdS_3 black holes and gives the correct functional form of entropies. We discuss various solutions in the Einstein-Maxwell theory, dilaton gravity, Einstein-scalar theories, and Einstein-Maxwell-dilaton theory. In some cases, solutions approach AdS_3 asymptotically, but their entropies do not have the form of Cardy's formula. However, it turns out that they are actually not "asymptotically $AdS_3$" solutions. On the other hand, for truly asymptotically AdS_3 solutions, their entropies have the form of Cardy's formula. In this sense, all known solutions are consistent with our proposal.

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