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- Title
Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell p-form theory.
- Authors
Kuchynka, M.; Pravdová, A.
- Abstract
We consider d-dimensional solutions to the electrovacuum Einstein-Maxwell equations with the Weyl tensor of type N and a null Maxwell $$(p+1)$$ -form field. We prove that such spacetimes are necessarily aligned, i.e. the Weyl tensor of the corresponding spacetime and the electromagnetic field share the same aligned null direction (AND). Moreover, this AND is geodetic, shear-free, non-expanding and non-twisting and hence Einstein-Maxwell equations imply that Weyl type N spacetimes with a null Maxwell $$(p+1)$$ -form field belong to the Kundt class. Moreover, these Kundt spacetimes are necessarily $${ CSI}$$ and the $$(p+1)$$ -form is $${ VSI}$$ . Finally, a general coordinate form of solutions and a reduction of the field equations are discussed.
- Subjects
SPACETIME; RELATIVITY (Physics); WEYL space; MAXWELL equations; EINSTEIN field equations
- Publication
General Relativity & Gravitation, 2017, Vol 49, Issue 5, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-017-2234-7