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Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell p-form theory
- 1.0474336 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
Kuchynka, Martin - Pravdová, Alena
Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell p-form theory.
General Relativity and Gravitation. Roč. 49, č. 5 (2017), č. článku 71. ISSN 0001-7701. E-ISSN 1572-9532
Grant CEP: GA ČR GA13-10042S
Institucionální podpora: RVO:67985840
Klíčová slova: Einstein–Maxwell equations * Weyl type N spacetimes * Kundt spacetimes
Obor OECD: Applied mathematics
Impakt faktor: 1.721, rok: 2017
https://link.springer.com/article/10.1007/s10714-017-2234-7
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.
Trvalý link: http://hdl.handle.net/11104/0271425
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