English

Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

High Energy Physics - Theory 2009-10-31 v3 General Relativity and Quantum Cosmology

Abstract

The entropy of the four dimensional Schwarzschild black hole is derived by mapping it onto a configuration of intersecting branes with four charges. This configuration is obtained by performing several boosts and dualities on a neutral black brane of M-theory to which the Schwarzschild black hole is related by trivial compactification. The infinite boost limit is well-defined and corresponds to extremality where the intersecting brane configuration is a marginal one on which a standard microscopic counting of the entropy can be safely performed. The result reproduces exactly the Bekenstein-Hawking entropy of the four dimensional black hole.

Keywords

Cite

@article{arxiv.hep-th/9801053,
  title  = {Statistical Entropy of the Four Dimensional Schwarzschild Black Hole},
  author = {R. Argurio and F. Englert and L. Houart},
  journal= {arXiv preprint arXiv:hep-th/9801053},
  year   = {2009}
}

Comments

9 pages, Latex; references added