Extremal Isolated Horizon/CFT Correspondence

Details Extremal Isolated Horizon/CFT Correspondence Extremal Isolated Horizon/CFT Correspondence

2009-04-09

arxiv.org/abs/0904.1554v3

Phys.Rev.D80:024014,2009

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figure, revtex4; v2: abstract revised, minor corrections, references added; v3: minor corrections, version to app

Scientific paper

10.1103/PhysRevD.80.024014

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.

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