Black Hole Entropy from Loop Quantum Gravity

Details Black Hole Entropy from Loop Quantum Gravity Black Hole Entropy from Loop Quantum Gravity

1996-03-30

arxiv.org/abs/gr-qc/9603063v1

Phys.Rev.Lett.77:3288-3291,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, latex-revtex, no figures

Scientific paper

10.1103/PhysRevLett.77.3288

We argue that the statistical entropy relevant for the thermal interactions of a black hole with its surroundings is (the logarithm of) the number of quantum microstates of the hole which are distinguishable from the hole's exterior, and which correspond to a given hole's macroscopic configuration. We compute this number explicitly from first principles, for a Schwarzschild black hole, using nonperturbative quantum gravity in the loop representation. We obtain a black hole entropy proportional to the area, as in the Bekenstein-Hawking formula.

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