Black hole solutions of Kaluza-Klein supergravity theories and string theory

摘要

We find U(1)_E x U(1)_M non-extremal black hole solutions of six-dimensional Kaluza-Klein supergravity theories. Extremal solutions were found by Cvetič and Youm. Multi-black hole configurations are also presented. After electromagnetic duality transformation is performed, these multi-black hole solutions are mapped into the exact solutions found by Horowitz and Tseytlin in five-dimensional string theory compactified into four dimensions. The massless fields of this theory can be embedded into the heterotic string theory compactified on a 6-torus. Rotating black hole solutions of this string theory can be read off from those of the heterotic string theory found by Sen.