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Cited by 342

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

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Mazur, P O·1982·Journal of Physics A: Mathematical and General

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 m 2 -a 2 -P 2 -Q 2 >0.

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Metadata

Authors
Mazur, P. O.
Venue
Journal of Physics A: Mathematical and General
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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CoChat. (2026). Citation check: Proof of uniqueness of the Kerr-Newman black hole solution. https://app.cochat.ai/papers/10.1088/0305-4470/15/10/021
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Mazur, P. O. (1982). Proof of uniqueness of the Kerr-Newman black hole solution. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/15/10/021

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