Semiclassical Black Hole States and Entropy

Details Semiclassical Black Hole States and Entropy Semiclassical Black Hole States and Entropy

1996-08-14

arxiv.org/abs/gr-qc/9608031v3

Phys.Rev. D55 (1997) 2186-2191

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 15 pages, some clarifying comments and additional references included, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.55.2186

We discuss semiclassical states in quantum gravity corresponding to Schwarzschild as well as Reissner Nordstr\"om black holes. We show that reduced quantisation of these models is equivalent to Wheeler-DeWitt quantisation with a particular factor ordering. We then demonstrate how the entropy of black holes can be consistently calculated from these states. While this leads to the Bekenstein-Hawking entropy in the Schwarzschild and non-extreme Reissner-Nordstr\"om cases, the entropy for the extreme Reissner-Nordstr\"om case turns out to be zero.

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