Nonextremal Kerr/CFT on a stretched horizon

Abstract

We study the conformal symmetry described by $SL(2,R{)}_L\times SL(2,R{)}_R$ in the nonextremal Kerr black hole case. We calculate the central charges $c_{L,R}$ separately on a stretched horizon by the Hamiltonian gravity. In order to get two sets of conformal symmetry, we consider two Killing vectors each of which depends on either one of the two independent coordinates separated in the spirit of point-splitting from the angular coordinate of the corotating frame at the horizon. Then, we obtain the Bekenstein-Hawking entropy by the Cardy formula.

12 pages, no figure, main calculation has been redone, version to appear in JHEP

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Cited by in corpus (4)

• Hidden conformal symmetry for the accelerating Kerr black holes
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• On the Near Horizon Canonical Quantum Microstates from $Ad{S}_2/CF{T}_1$ and Conformal Weyl Gravity
• Gravitational Perturbation and Kerr/CFT Correspondence