Topological derivation of Black Hole entropy by analogy with a chain polymer
General Relativity and Quantum Cosmology
2009-11-07 v2
Abstract
The generic crease set of an event horizon possesses anisotropic structure though most of black holes are dynamically stable. This fact suggests that a generic almost spherical black hole has a very crumpled crease set in a microscopic scale though the crease set is similar to a point-wise crease set in a macroscopic scale. In the present article, we count the number of such micro-states of an almost spherical black hole by analogy with an elastic chain polymer. This estimation of black hole entropy reproduces the well-known Bekenstein-Hawking entropy of a Schwarzschild black hole.
Keywords
Cite
@article{arxiv.gr-qc/0201003,
title = {Topological derivation of Black Hole entropy by analogy with a chain polymer},
author = {Masaru Siino},
journal= {arXiv preprint arXiv:gr-qc/0201003},
year = {2009}
}
Comments
Some misleading sentences are corrected. Accepted for publication in Phys. Rev. D