The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
The nondiverging and nontwisting type D electrovac solutions with λ
Abstract
Assuming the type D of the metric and the alignment of the EM field along the double D–P directions all solutions of Einstein–Maxwell equations free of complex expansion in the presence of cosmological constant are studied. All solutions of this type are found equivalent to Carter’s branch [B̄ (−)] in a previous paper and are derivable from the general 7-parametric D’s by contractions. Various special cases are examined, and at least a 4-parameter group of symmetries of these solutions is exhibited and studied.
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“All type D solutions of the Einstein-Maxwell equations in the presence of were investigated by Plebański[10] under the assumptions that both double principal null directions are non-expanding, non-twisting and aligned along the real eigenvectors of the (non-null) electromagnetic field.”
From Impulsive waves in electrovac direct product spacetimes with (2002) · cites this paper as [10]
Citations
Cites
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Cited by
Debever, R., Kamran, N., & McLenaghan, R. G. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526386 · Cited by 66
Gyratons on direct-product spacetimes
Kadlecová, H., Zelnikov, A., Krtouš, P., & Podolský, J. (2009) · Physical Review D · doi:10.1103/physrevd.80.024004 · Cited by 34
Impulsive waves in electrovac direct product spacetimes with
Ortaggio, M., & Podolsk, J. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/20/313 · Cited by 31
Explicit algebraic classification of Kundt geometries in any dimension
Podolský, J., & Švarc, R. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/12/125007 · Cited by 27
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Metadata
- Authors
- Plebański, J. F.
- Affiliations
- Centro de Investigación y Estudios Avanzados del I.P.N., México, México 14−740
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1979-09-01
- Volume
- 20
- Issue
- 9
- Pages
- 1946-1962
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2052163576
- Cited by
- 16
- References
- 14
- Citations by year
- 2026: 1 · 2024: 1 · 2018: 1 · 2013: 2
- FWCI
- 2.64
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Keywords
- Einstein-Maxwell equations, cosmological constant, symmetry groups, exact solutions of Einstein field equations
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