Black hole entropy and soft hair
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.
- Authors:
-
- Cambridge Univ. (United Kingdom); Harvard Univ., Cambridge, MA (United States)
- Cambridge Univ. (United Kingdom)
- Cambridge Univ. (United Kingdom); Harvard Univ., Cambridge, MA (United States); Radcliffe Inst. for Advanced Study, Cambridge, MA (United States)
- Harvard Univ., Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Harvard Univ., Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); John Templeton Foundation; George and Cynthia Mitchell Foundation
- Contributing Org.:
- Black Hole Initiative
- OSTI Identifier:
- 1598778
- Grant/Contract Number:
- SC0007870
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 12; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Black Holes; Gauge-gravity correspondence; Space-Time Symmetries
Citation Formats
Haco, Sasha, Hawking, Stephen W., Perry, Malcolm J., and Strominger, Andrew. Black hole entropy and soft hair. United States: N. p., 2018.
Web. doi:10.1007/JHEP12(2018)098.
Haco, Sasha, Hawking, Stephen W., Perry, Malcolm J., & Strominger, Andrew. Black hole entropy and soft hair. United States. https://doi.org/10.1007/JHEP12(2018)098
Haco, Sasha, Hawking, Stephen W., Perry, Malcolm J., and Strominger, Andrew. Mon .
"Black hole entropy and soft hair". United States. https://doi.org/10.1007/JHEP12(2018)098. https://www.osti.gov/servlets/purl/1598778.
@article{osti_1598778,
title = {Black hole entropy and soft hair},
author = {Haco, Sasha and Hawking, Stephen W. and Perry, Malcolm J. and Strominger, Andrew},
abstractNote = {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.},
doi = {10.1007/JHEP12(2018)098},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2018,
place = {United States},
year = {Mon Dec 17 00:00:00 EST 2018},
month = {Mon Dec 17 00:00:00 EST 2018}
}
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