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New Solutions of the Einstein-Maxwell Equations from Old
Abstract
Methods are discussed with which one may derive theorems which allow one to generate new solutions of the Einstein-Maxwell equations from old ones. The old solutions used to generate new ones must admit at least one nonnull Killing vector and may be required to satisfy other conditions, depending on the theorem derived. Examples of derivable theorems are shown; these theorems are used in turn to show how generation of new solutions is accomplished. Examples of the latter are shown, such as generation of Brill or electrified NUT space from the Schwarzschild solution, generation of a new twisted Melvin universe from flat space, and generation of a new generalization of the Ozsvath-Schücking metric. Possible physical interpretations, uses, and extensions of this type of theorem are discussed.
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Citations
Cites
Mach's Principle and a Relativistic Theory of Gravitation
Brans, C., & Dicke, R. H. (1961) · Physical Review · doi:10.1103/physrev.124.925 · Cited by 5,621
Cited by
A Method for Generating Solutions of Einstein's Equations
Geroch, R. (1971) · Journal of Mathematical Physics · doi:10.1063/1.1665681 · Cited by 673
4-Dimensional black holes from Kaluza-Klein theories
Breitenlohner, P., Maison, D., & Gibbons, G. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01217967 · Cited by 472
Metadata
- Authors
- Harrison, B. K.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1968-11-01
- Volume
- 9
- Issue
- 11
- Pages
- 1744-1752
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2059634747
- Cited by
- 258
- References
- 1
- FWCI
- 2.96
- Type
- journal article
- Language
- en
- Open access
- closed
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