Black hole entropy and soft hair

Autor: Stephen W. Hawking, Sasha Haco, Andrew Strominger, Malcolm J. Perry
Přispěvatelé: Perry, Malcolm [0000-0002-3182-5932], Apollo - University of Cambridge Repository
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics
Journal of High Energy Physics, Vol 2018, Iss 12, Pp 1-19 (2018)
DOI: 10.17863/cam.47103
Popis: A set of infinitesimal ${\rm Virasoro_{\,L}}\otimes{\rm Virasoro_{\,R}}$ 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 $c_L=c_R=12J$. 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.
Accepted for publication by JHEP on 05/12/18
Databáze: OpenAIRE