English

Entropy for Asymptotically AdS_3 Black Holes

High Energy Physics - Theory 2009-10-31 v2 General Relativity and Quantum Cosmology

Abstract

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 AdS3AdS_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.

Keywords

Cite

@article{arxiv.hep-th/9911062,
  title  = {Entropy for Asymptotically AdS_3 Black Holes},
  author = {Makoto Natsuume and Takashi Okamura},
  journal= {arXiv preprint arXiv:hep-th/9911062},
  year   = {2009}
}

Comments

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