Kerr-CFT From Black-Hole Thermodynamics

Abstract

We analyze the near-horizon limit of a general black hole with two commuting killing vector fields in the limit of zero temperature. We use black hole thermodynamics methods to relate asymptotic charges of the complete spacetime to those obtained in the near-horizon limit. We then show that some diffeomorphisms do alter asymptotic charges of the full spacetime, even though they are defined in the near horizon limit and, therefore, count black hole states. We show that these conditions are essentially the same as considered in the Kerr/CFT corresponcence. From the algebra constructed from these diffeomorphisms, one can extract its central charge and then obtain the black hole entropy by use of Cardy's formula.

19 pages, JHEP3, no figures. V2: References added, small typos fixed

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Cited by in corpus (11)

• The Kerr/CFT correspondence and its extensions: a comprehensive review
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• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• A Near Horizon CFT Dual for Kerr-Newman-$AdS$
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality
• Killing Horizons and Spinors
• From rotating attractors to extremal black holes with axionic hair