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Higher-dimensional resolution of dilatonic black-hole singularities
Open accessAbstract
We show that the four-dimensional extreme dilaton black hole with dilaton coupling constant can be interpreted as a completely non-singular , non-dilatonic, black p-brane in (4+p) dimensions provided that p is 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 3-brane of ten-dimensional N=2B supergravity and a multi-5-brane 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 of all field configurations of appropriate asymptotic behaviour which are non-singular on some initial hypersurface.
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Using results of [15] and [14], it can be shown that (46) is the only solution which is both non-singular and boost-invariant.
“Using the results of Refs.[15] and [14], it can be shown that ( 46) is the only solution which is both non-singular and boost-invariant.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [14]
Section 2 says that, for odd p, the maximal analytic extension of the higher-dimensional solution is completely nonsingular. But our copy does not identify the citing paper’s equation (46) or establish that any solution is the only one that is both nonsingular and boost-invariant. The Introduction discusses reduction along a boost, not that uniqueness claim. (LLM, conf=0.76)
Experimental — accuracy not yet measuredThe theory has black brane solutions with the necessary properties.
“The theory does have black brane solutions with the necessary properties [14,15].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [14]
Einstein-Maxwell theory with Λ6=0 has magnetically charged, asymptotically flat black brane solutions.
“It is well known that Einstein-Maxwell theory with Λ 6 = 0 has magnetically charged, asymptotically flat black brane solutions [14,15].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [14]
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Transdimensional tunneling in the multiverse
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Metadata
- Authors
- Gibbons, G. W., Horowitz, G. T., & Townsend, P. K.
- Affiliations
- Isaac Newton Institute for Mathematical Sciences (GB)
- University of Cambridge (GB)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1995-02-01
- Volume
- 12
- Issue
- 2
- Pages
- 297-317
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2033649663
- Cited by
- 359
- References
- 0
- Citations by year
- 2026: 6 · 2025: 14 · 2024: 10 · 2023: 1 · 2022: 6 · 2021: 4 · 2020: 3 · 2019: 3 · 2018: 5 · 2017: 6 · 2016: 8 · 2015: 8 · 2014: 6 · 2013: 6 · 2012: 9
- FWCI
- 26.75
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9008502)
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Keywords
- dilaton black holes, black hole singularities, black p-branes, higher-dimensional supergravity, eleven-dimensional supergravity, energy bounds, extremal black holes
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