Abstract

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

Keywords

PhysicsSupergravityDilatonBraneBlack hole (networking)Mathematical physicsBlack braneGravitational singularityHypersurfaceSpacetimeSingularityTheoretical physicsExtremal black holeSupersymmetryQuantum mechanicsGeometry

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Publication Info

Year
1995
Type
article
Volume
12
Issue
2
Pages
297-317
Citations
307
Access
Closed

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G. W. Gibbons, Gary T. Horowitz, Paul Townsend (1995). Higher-dimensional resolution of dilatonic black-hole singularities. Classical and Quantum Gravity , 12 (2) , 297-317. https://doi.org/10.1088/0264-9381/12/2/004

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DOI
10.1088/0264-9381/12/2/004