Statistical Entropy of the Four Dimensional Schwarzschild Black Hole

TL;DR

This paper derives the entropy of the four-dimensional Schwarzschild black hole by mapping it onto intersecting branes in M-theory, successfully reproducing the Bekenstein-Hawking entropy through a microscopic counting approach.

Contribution

It introduces a novel method of deriving black hole entropy by relating Schwarzschild black holes to intersecting branes via boosts and dualities in M-theory.

Findings

Exact match with Bekenstein-Hawking entropy

Valid in the extremal limit with infinite boost

Provides a microscopic interpretation of black hole entropy

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.