Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

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.

9 pages, Latex; references added

References in corpus (3)

• Intersection Rules for Non-Extreme $p$-Branes
• Non-extremal Intersecting p-branes in Various Dimensions
• Statistical Entropy of Schwarzschild Black Holes

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• A Description of Schwarzschild Black Holes in terms of Intersecting M-branes and antibranes
• State-space Manifold and Rotating Black Holes
• Statistical Entropy of Schwarzschild Black Holes
• Entropy and String Black Hole Correspondence
• Entropy of Black Holes in D=5, N=2 Supergravity and AdS Central Charges
• Hawking Radiation from Four-dimensional Schwarzschild Black Holes in M-theory
• Matrix Theory Description of Schwarzschild Black Holes in the Regime N >> S