Duality rotations and type D solutions to Einstein equations with nonlinear electromagnetic sources
- 1 September 1987
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (9) , 2171-2181
- https://doi.org/10.1063/1.527430
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.Keywords
This publication has 35 references indexed in Scilit:
- Critical comments on the discussion about tachyonic causal paradoxes and on the concept of superluminal reference frameInternational Journal of Theoretical Physics, 1984
- All null orbit type D electrovac solutions with cosmological constantJournal of Mathematical Physics, 1983
- Solutions of type D possessing a group with null orbits as contractions of the seven-parameter solutionJournal of Mathematical Physics, 1982
- An exceptional type D shearing twisting electrovac with λJournal of Mathematical Physics, 1982
- Real slices of complex space-time in general relativityReports on Mathematical Physics, 1977
- Nonlinear Electrodynamics and General RelativityJournal of Mathematical Physics, 1969
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962
- On the Choice of the Action Function in the New Field TheoryPhysical Review B, 1937
- Folgerungen aus der Diracschen Theorie des PositronsThe European Physical Journal A, 1936
- Foundations of the new field theoryProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934