The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
An exceptional type D shearing twisting electrovac with λ
Abstract
A new electrovac with λ type D solution and with both Debever–Penrose vectors aligned along the real eigenvectors of the electromagnetic field is presented. The principal null directions are shearing and twisting. The existence of this solution, endowed with an O(2,1,R) symmetry, requires λ<0.
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In the citing paper
“The case 3 2 Ψ 2 = -|Φ 1 | 2 , which was overlooked in 35 , was dealt with in 16 .Its unique solutions are the 'García-Plebański metrics',”
From Algebraically special Einstein–Maxwell fields (2017) · cites this paper as [16]
In the citing paper
“The corresponding space-times admit a 3 dimensional group of isometries; both k and ℓ are geodesic (κ = ν = 0), shearing (σλ = 0) and twisting, but non-expanding (ρ, µ ∈ iR).”
From Algebraically special Einstein–Maxwell fields (2017) · cites this paper as [16]
Citations
Cites
Some exceptional electrovac type D metrics with cosmological constant
Plebański, J. F., & Hacyan, S. (1979) · Journal of Mathematical Physics · doi:10.1063/1.524174 · Cited by 52
The nondiverging and nontwisting type D electrovac solutions with λ
Plebański, J. F. (1979) · Journal of Mathematical Physics · doi:10.1063/1.524295 · Cited by 16
Research works printed but not linked: 6
- 1969, J. Math. Phys., 10, 1942
- 1962, Acta Phys. Pol. Suppl., 22, 13
- 1972, Commun. Math. Phys., 27, 303, 10.1007/BF01645517 · DOI
- 1975, Ann. Phys., 90, 280
- 1959, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys., 7, 35
- 1959, Phys. Rev., 116, 1331, 10.1103/PhysRev.116.1331 · DOI · Paper page
Cited by
Algebraically special Einstein–Maxwell fields
Van den Bergh, N. (2017) · General Relativity and Gravitation · doi:10.1007/s10714-016-2171-x · Cited by 11
Metadata
- Authors
- García D., A., & Plebañski, J. F.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1982-01-01
- Volume
- 23
- Issue
- 1
- Pages
- 123-125
- ISSN
- 0022-2488
- 1089-7658
- Cited by
- 12
- References
- 2
- Language
- en
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- CoChat. (2026). Citation check: An exceptional type D shearing twisting electrovac with λ. https://app.cochat.ai/papers/10.1063/1.525197
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- García D., A., & Plebañski, J. F. (1982). An exceptional type D shearing twisting electrovac with λ. Journal of Mathematical Physics. https://doi.org/10.1063/1.525197
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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.
