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Black hole entropy and soft hair

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Peer-reviewed

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Authors

Haco, Sasha 
Hawking, Stephen W. 
Perry, Malcolm J. 
Strominger, Andrew 

Abstract

Abstract: A set of infinitesimal Virasoro L ⊗ Virasoro R diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of ‘Wald-Zoupas’ counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges cL = cR = 12J. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.

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Keywords

Regular Article - Theoretical Physics, Black Holes, Gauge-gravity correspondence, Space-Time Symmetries

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Journal ISSN

1029-8479

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