The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Uniform Electromagnetic Field in the Theory of General Relativity
Abstract
A cosmological solution of the Einstein-Maxwell's field equations, corresponding to the case of a uniform (that is, covariant constant) electromagnetic field, is derived by means of simple geometrical arguments; the Riemannian manifold it corresponds to is the product of two ordinary surfaces of constant curvature, whose type and radius depend on the values of the cosmological constant and the invariants of the electromagnetic field. The world-lines of charged test particles have also a very simple geometrical meaning.
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In the citing paper
“These are well-known electrovacuum spacetimes with the geometry of a direct product of two constant curvature 2-spaces [10], see also [27,12].”
From Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes (2003) · cites this paper as [10]
In the citing paper
“Thus, for a constant R we obtain the Bertotti-Robinson universe [9,10,11,12]”
From Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes (2003) · cites this paper as [10]
In the citing paper
“For a non-null Maxwell field one obtains the Bertotti-Robinson [9,10,11] universe.”
From Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes (2003) · cites this paper as [10]
In the citing paper
“Recall that these well-known universes [2][3][4][5][6][7] are either vacuum or contain a uniform electromagnetic field, possibly with a cosmological constant .”
From Impulsive waves in electrovac direct product spacetimes with (2002) · cites this paper as [4]
Citations
Cites
Schouten, J. A. (1954) · doi:10.1007/978-3-662-12927-2 · Cited by 1,010
Research works printed but not linked: 15
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Cited by
Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
Carter, B. (1968) · Communications in Mathematical Physics · doi:10.1007/bf03399503 · Cited by 1,111
Nariai, Bertotti-Robinson, and anti-Nariai solutions in higher dimensions
Cardoso, V., Dias, Ó. J. C., & Lemos, J. P. S. (2004) · Physical Review D · doi:10.1103/physrevd.70.024002 · Cited by 107
Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes
Podolsk, J., & Ortaggio, M. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/9/307 · Cited by 61
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
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
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
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
- Bertotti, B.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1959-12-01
- Volume
- 116
- Issue
- 5
- Pages
- 1331-1333
- ISSN
- 0031-899X
- Cited by
- 411
- References
- 1
- Language
- en
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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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.
