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Black Hole Entropy and Soft Hair
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Black Hole Entropy and Soft Hair
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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.
Forward citations
Cited by 3 Pith papers
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Covariant phase space and the semi-classical Einstein equation
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Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes
Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.
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Monodromy, Hidden Conformal Symmetry and Soft Hair in Kerr-MOG Black Hole
Kerr-MOG black holes are claimed to admit a 2D CFT dual with temperatures TL and TR and central charge 12J, reproducing the Bekenstein-Hawking entropy and scalar absorption cross section.
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