Higher-dimensional resolution of dilatonic black hole singularities

TL;DR

This paper demonstrates that certain four-dimensional dilaton black holes can be viewed as higher-dimensional, non-singular black branes, revealing new insights into their structure and supersymmetry properties.

Contribution

It introduces a novel interpretation of specific dilaton black holes as non-singular higher-dimensional black branes, extending the understanding of their geometry and supersymmetry.

Findings

Four-dimensional dilaton black holes are equivalent to non-singular higher-dimensional black branes.

Includes examples like self-dual three branes and multi-fivebrane solutions.

Supersymmetric solutions saturate energy bounds.

Abstract

We show that the four-dimensional extreme dilaton black hole with dilaton coupling constant $a= \sqrt{p/(p+2)}$ can be interpreted as a {\it completely non-singular}, non-dilatonic, black $p$-brane in $(4+p)$ dimensions provided that $p$ is {\it odd}. Similar results are obtained for multi-black holes and dilatonic extended objects in higher spacetime dimensions. The non-singular black $p$-brane solutions include the self-dual three brane of ten-dimensional N=2B supergravity and a multi-fivebrane solution of eleven-dimensional supergravity. In the case of a supersymmetric non-dilatonic $p$-brane solution of a supergravity theory, we show that it saturates a bound on the energy per unit $p$-volume.