Black Hole Solutions of Kaluza-Klein Supergravity Theories and String Theory

TL;DR

This paper constructs and analyzes non-extremal and multi black hole solutions in 6D Kaluza-Klein supergravity, relating them to known solutions in string theory and heterotic models, expanding the understanding of black holes in higher-dimensional theories.

Contribution

It presents new non-extremal and multi black hole solutions in 6D supergravity and connects these solutions to established string theory solutions via dualities.

Findings

Found non-extremal black hole solutions in 6D supergravity.

Mapped multi black hole solutions to 5D string theory solutions.

Connected solutions to heterotic string theory and rotating black holes.

Abstract

We find U(1)_{E} \times U(1)_{M} non-extremal black hole solutions of 6-dimensional Kaluza-Klein supergravity theories. Extremal solutions were found by Cveti\v{c} and Youm\cite{C-Y}. Multi black hole solutions are also presented. After electro-magnetic duality transformation is performed, these multi black hole solutions are mapped into the the exact solutions found by Horowitz and Tseytlin\cite{H-T} in 5-dimensional string theory compactified into 4-dimensions. The massless fields of this theory can be embedded into the heterotic string theory compactified on a 6-torus. Rotating black hole solutions can be read off those of the heterotic string theory found by Sen\cite{Sen3}.