Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

Details Statistical Entropy of the Four Dimensional Schwarzschild Black Hole Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

1998-01-09

arxiv.org/abs/hep-th/9801053v3

Phys.Lett. B426 (1998) 275-281

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex; references added

Scientific paper

10.1016/S0370-2693(98)00294-9

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.

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