Semiclassical Black Hole States and Entropy
General Relativity and Quantum Cosmology
2009-10-28 v3
Abstract
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.
Cite
@article{arxiv.gr-qc/9608031,
title = {Semiclassical Black Hole States and Entropy},
author = {T. Brotz and C. Kiefer},
journal= {arXiv preprint arXiv:gr-qc/9608031},
year = {2009}
}
Comments
Revtex, 15 pages, some clarifying comments and additional references included, to appear in Phys. Rev. D