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[Misc] Black Hole Entropy and Soft Hair



Juan Albion

Chicken Sniffer 3rd Class
Sasha Haco, Stephen W. Hawking, Malcolm J. Perry, Andrew Strominger:

A set of infinitesimal VirasoroL⊗VirasoroR 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.


Discuss.

:hilton:
 


Jim D

Well-known member
Jul 23, 2003
5,249
Worthing
Sasha Haco, Stephen W. Hawking, Malcolm J. Perry, Andrew Strominger:

A set of infinitesimal VirasoroL⊗VirasoroR 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.


Discuss.

:hilton:

I have my own Cardy Formula: choose one that is quite loose when unbuttoned but fits well when fully buttoned. Also should be thick enough to act as a warm jumper when necessary. You can't go wrong with that.
 

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