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arXiv · hep-th/9410073

Higher-dimensional resolution of dilatonic black hole singularities

G. W. Gibbons·Gary T. Horowitz·P. K. Townsend
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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.

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G. W. Gibbons, Gary T. Horowitz, P. K. Townsend. 1994-10-17. Higher-dimensional resolution of dilatonic black hole singularities. https://doi.org/10.1088/0264-9381%2F12%2F2%2F004

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