Black Hole Entropy and Soft Hair
Oct 3, 2018
Citations per year
Abstract: (Springer)
A set of infinitesimal Virasoro ⊗ Virasoro 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 = c = 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.Note:
- Accepted for publication by JHEP on 05/12/18
- Black Holes
- Gauge-gravity correspondence
- Space-Time Symmetries
- black hole: Kerr
- black hole: entropy
- charge: Virasoro
- algebra
- phase space: covariance
- central charge
- horizon
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