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Generation of stationary Einstein-Maxwell fields
Abstract
The Einstein-Maxwell field equations in the presence of one Killing vector are shown to possess covariance under an eight-parameter group of linear substitutions in the field variables. This internal symmetry group is isomorphic to SU(2,1). Three of the degrees of freedom correspond to gage transformations, but the remaining ones allow us to generate a five-parameter family of solutions given a single solution.
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Citations
Cited by
Stationary Black Holes: Uniqueness and Beyond
Chruściel, P. T., Costa, J. L., & Heusler, M. (2012) · Living Reviews in Relativity · doi:10.12942/lrr-2012-7 · Cited by 522
On the separation of Einsteinian substructures
Plebański, J. F. (1977) · Journal of Mathematical Physics · doi:10.1063/1.523215 · Cited by 499
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
Proof of uniqueness of the Kerr-Newman black hole solution
Mazur, P. O. (1982) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/15/10/021 · Cited by 342
Metadata
- Authors
- Kinnersley, W.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1973-05-01
- Volume
- 14
- Issue
- 5
- Pages
- 651-653
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W1986711848
- Cited by
- 198
- References
- 0
- FWCI
- 8.68
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kinnersley, W. (1973). Generation of stationary Einstein-Maxwell fields. Journal of Mathematical Physics. https://doi.org/10.1063/1.1666373
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