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arxiv: hep-th/9801053 · v3 · submitted 1998-01-09 · ✦ hep-th · gr-qc

Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

classification ✦ hep-th gr-qc
keywords blackentropyfourholeconfigurationdimensionalschwarzschildbrane
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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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