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

We derive the Bekenstein–Hawking entropy formula for fourand five-dimensional nonsupersymmetric 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. Black holes higher than fivedimensional are also considered. We discuss the connection of our approach to the Dbrane picture. CERN-TH/97-330 KUL-TF-97/33 November 1997