Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes

TL;DR

This paper derives the Bekenstein-Hawking entropy for non-extremal black holes in four and five dimensions by relating them to three-dimensional black holes and counting their microscopic states, connecting to D-brane models.

Contribution

It provides a microscopic derivation of black hole entropy for non-supersymmetric cases using U-duality and Carlip's approach, extending previous methods.

Findings

Successfully derived entropy for 4D and 5D black holes

Connected higher-dimensional black holes to 3D BTZ black holes

Linked microscopic state counting to D-brane models

Abstract

We derive the Bekenstein-Hawking entropy formula for four and five dimensional non-supersymmetric black holes (which include the Schwarzchild ones) by counting microscopic states. This is achieved by first showing that these black holes are U-dual to the three-dimensional black hole of Banados-Teitelboim-Zanelli and then counting microscopic states of the latter following Carlip's approach. Higher than five dimensional black holes are also considered. We discuss the connection of our approach to the D-brane picture.