Proof of uniqueness of the Kerr-Newman black hole solution
- 1 October 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (10) , 3173-3180
- https://doi.org/10.1088/0305-4470/15/10/021
Abstract
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 m2-a2-P2-Q2>0.Keywords
This publication has 11 references indexed in Scilit:
- Two-soliton solutions of the Ernst equationJournal of Physics A: General Physics, 1981
- More about non-linear sigma models on symmetric spacesNuclear Physics B, 1980
- Harmonic maps as models for physical theoriesPhysical Review D, 1978
- Generation of stationary Einstein-Maxwell fieldsJournal of Mathematical Physics, 1973
- Black holes in general relativityCommunications in Mathematical Physics, 1972
- Event horizons in static electrovac space-timesCommunications in Mathematical Physics, 1968
- New Formulation of the Axially Symmetric Gravitational Field Problem. IIPhysical Review B, 1968
- New Formulation of the Axially Symmetric Gravitational Field ProblemPhysical Review B, 1968
- Event Horizons in Static Vacuum Space-TimesPhysical Review B, 1967
- Metric of a Rotating, Charged MassJournal of Mathematical Physics, 1965