Apparent horizons, black hole entropy, and loop quantum gravity

Viqar Husain
Phys. Rev. D 59, 084019 – Published 22 March 1999
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Abstract

In recent work on black hole entropy in nonperturbative quantum gravity, an action for the black hole sector of the phase space was introduced and (partially) quantized. We give a number of observations on this and related works. In particular we show that (i) the entropy calculation applies without change to generally covariant theories having no black hole solutions, (ii) the phase space constraint used to select the black hole sector is not the apparent horizon equation, which is the natural phase space constraint separating trapped and untrapped regions on an initial data surface, and (iii) there appears to be at least one other phase space constraint which leads to the conclusion that the entropy associated with a bounding two-dimensional surface is proportional to its area.

  • Received 30 June 1998

DOI:https://doi.org/10.1103/PhysRevD.59.084019

©1999 American Physical Society

Authors & Affiliations

Viqar Husain*

  • Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia, V6T1Z1, Canada

  • *Email address: husain@physics.ubc.ca

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Vol. 59, Iss. 8 — 15 April 1999

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