Apparent horizons, black hole entropy and loop quantum gravity

Details Apparent horizons, black hole entropy and loop quantum gravity Apparent horizons, black hole entropy and loop quantum gravity

1998-06-29

arxiv.org/abs/gr-qc/9806115v2

Phys.Rev. D59 (1999) 084019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, RevTeX, published version (minor changes)

Scientific paper

10.1103/PhysRevD.59.084019

In recent work on black hole entropy in non-perturbative quantum gravity, an action for the black hole sector of the phase space is 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.

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