Extremal Isolated Horizon/CFT Correspondence
High Energy Physics - Theory
2009-09-02 v3 General Relativity and Quantum Cosmology
Abstract
The near-horizon limit of the extremal (weakly) isolated horizon is obtained under the Bondi-like coordinates. For the vacuum case, explicit coordinate transformation relating the near-horizon metric under the Bondi-like coordinates and the standard Poincar\'e-type or global near-horizon metric of the extremal Kerr black hole is found, which shows that the two geometries are the same. Combined with the known thermodynamics of the (weakly) isolated horizon, it is argued that the Kerr/CFT correspondence can be generalized to the case of a large class of non-stationary extremal black holes.
Cite
@article{arxiv.0904.1554,
title = {Extremal Isolated Horizon/CFT Correspondence},
author = {Xiao-Ning Wu and Yu Tian},
journal= {arXiv preprint arXiv:0904.1554},
year = {2009}
}
Comments
13 pages, no figure, revtex4; v2: abstract revised, minor corrections, references added; v3: minor corrections, version to appear in PRD