The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Proof of uniqueness of the Kerr-Newman black hole solution
Open accessAbstract
The electrovacuum Ernst equations are formulated as a nonlinear sigma -model on the symmetric (Kahler) space SU(1,2)/S(U(1)*U(2)). It is shown, using this formulation, that a generalised Robinson-type identity for the electrovacuum Ernst equations may be derived. A special role played in the derivation of this identity by the hidden symmetry group SU(1,2) is established. A theorem is proven that the only possible exterior solution for a (pseudo-) stationary, rotating, electrovacuum black hole with non-degenerate event horizon is the Kerr-Newman solution with m 2 -a 2 -P 2 -Q 2 >0.
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Cites
Black holes in general relativity
Hawking, S. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01877517 · Cited by 1,561
Event Horizons in Static Vacuum Space-Times
Israel, W. (1967) · Physical Review · doi:10.1103/physrev.164.1776 · Cited by 1,373
Metric of a Rotating, Charged Mass
Newman, E. T., Couch, E., Chinnapared, K., Exton, A., Prakash, A., & Torrence, R. (1965) · Journal of Mathematical Physics · doi:10.1063/1.1704351 · Cited by 1,312
Uniqueness of the Kerr Black Hole
Robinson, D. C. (1975) · Physical Review Letters · doi:10.1103/physrevlett.34.905 · Cited by 907
The Large Scale Structure of Space-Time: 50th Anniversary Edition
Hawking, S. W., & Ellis, G. F. R. (2023) · Cambridge University Press eBooks · doi:10.1017/9781009253161 · Cited by 897
Event horizons in static electrovac space-times
Israel, W. (1968) · Communications in Mathematical Physics · doi:10.1007/bf01645859 · Cited by 721
New Formulation of the Axially Symmetric Gravitational Field Problem. II
Ernst, F. J. (1968) · Physical Review · doi:10.1103/physrev.168.1415 · Cited by 590
Generation of stationary Einstein-Maxwell fields
Kinnersley, W. (1973) · Journal of Mathematical Physics · doi:10.1063/1.1666373 · Cited by 198
Harmonic maps as models for physical theories
Misner, C. W. (1978) · Physical Review D · doi:10.1103/physrevd.18.4510 · Cited by 164
La théorie des groupes finis et continus et l'Analysis situs
Cartan, É. (1952) · International Linear Collider · Cited by 50
Cited by
Abbott, R., Abbott, T. D., Abraham, S., Acernese, F., Ackley, K., Adams, A., Adams, C., Adhikari, R. X., Adya, V. B., Affeldt, C., et al. (2021) · Physical Review D · doi:10.1103/physrevd.103.122002 · Cited by 755
Bizon, P. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.2844 · Cited by 542
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
Gravitational-Wave Tests of General Relativity with Ground-Based Detectors and Pulsar-Timing Arrays
Yunes, N., & Siemens, X. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-9 · Cited by 484
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
- Mazur, P. O.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1982-10-01
- Volume
- 15
- Issue
- 10
- Pages
- 3173-3180
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2093602661
- Cited by
- 342
- References
- 10
- FWCI
- 3.32
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.