Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
High Energy Physics - Theory
2009-12-17 v2
Abstract
We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.
Cite
@article{arxiv.0908.1121,
title = {Near Extremal Kerr Entropy from AdS_2 Quantum Gravity},
author = {Alejandra Castro and Finn Larsen},
journal= {arXiv preprint arXiv:0908.1121},
year = {2009}
}
Comments
28 pages. v2: references added, typos corrected