Black hole entropy and soft hair
Autor: | Stephen W. Hawking, Sasha Haco, Andrew Strominger, Malcolm J. Perry |
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Přispěvatelé: | Perry, Malcolm [0000-0002-3182-5932], Apollo - University of Cambridge Repository |
Rok vydání: | 2019 |
Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Black Holes FOS: Physical sciences 01 natural sciences Gauge-gravity correspondence symbols.namesake High Energy Physics::Theory General Relativity and Quantum Cosmology 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Covariant transformation 010306 general physics Black hole thermodynamics Mathematical physics Physics 010308 nuclear & particles physics Horizon Computer Science::Information Retrieval Space-Time Symmetries Hilbert space High Energy Physics - Theory (hep-th) Rotating black hole Phase space Homogeneous space symbols lcsh:QC770-798 Regular Article - Theoretical Physics Central charge |
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 |
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