Apparent horizons, black hole entropy and loop quantum gravity
arXiv:gr-qc/9806115 · doi:10.1103/PhysRevD.59.084019
Abstract
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.
9 pages, RevTeX, published version (minor changes)
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- Four-Dimensional Entropy from Three-Dimensional Gravity
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- Black Hole Entropy and Quantum Gravity
- A Statistical Mechanical Interpretation of Black Hole Entropy Based on an Orthonormal Frame Action
- Testing ER = EPR with Hydrogen
- Field dynamics on the trapping horizon in Vaidya spacetime