Black hole entropy and soft hair

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

OAI: oai:www.repository.cam.ac.uk:1810/300031 • DOI: 10.17863/CAM.47103

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.

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