Higher-dimensional resolution of dilatonic black hole singularities

Details Higher-dimensional resolution of dilatonic black hole singularities Higher-dimensional resolution of dilatonic black hole singularities

1994-10-10

arxiv.org/abs/hep-th/9410073v2

Class.Quant.Grav.12:297-318,1995

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, R/94/28, UCSBTH-94-35 (Comments added to the discussion section)

Scientific paper

10.1088/0264-9381/12/2/004

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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