The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Duality rotations and type D solutions to Einstein equations with nonlinear electromagnetic sources
Abstract
Within nonlinear electrodynamics of Born–Infeld type allowing for the freedom of duality rotations, explicit type D solutions are constructed. The obtained type D solutions, which generalize the charged Taub–NUT (Newman–Unti–Tamburino) metric with λ, exhaust all solutions within the considered class, under the assumption that the real eigenvectors of the electromagnetic field are aligned along the geodesic and shear-free principal null directions. Various relevant limiting transitions, in particular those of the flat space-time, are studied in some detail.
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Citations
Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Newman, E., & Penrose, R. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724257 · Cited by 2,702
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
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
Cited by
Regular magnetic black holes and monopoles from nonlinear electrodynamics
Bronnikov, K. A. (2001) · Physical Review D · doi:10.1103/physrevd.63.044005 · Cited by 872
Born–Infeld inspired modifications of gravity
Beltrán Jiménez, J., Heisenberg, L., Olmo, G. J., & Rubiera-Garcia, D. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.11.001 · Cited by 292
Metadata
- Authors
- Salazar I., H., García D., A., & Plebański, J.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1987-09-01
- Volume
- 28
- Issue
- 9
- Pages
- 2171-2181
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2039811824
- Cited by
- 225
- References
- 4
- FWCI
- 0.67
- Type
- journal article
- Language
- en
- Open access
- closed
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- Salazar I., H., García D., A., & Plebański, J. (1987). Duality rotations and type D solutions to Einstein equations with nonlinear electromagnetic sources. Journal of Mathematical Physics. https://doi.org/10.1063/1.527430
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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