Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell p-form theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474336" target="_blank" >RIV/67985840:_____/17:00474336 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10714-017-2234-7" target="_blank" >http://dx.doi.org/10.1007/s10714-017-2234-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10714-017-2234-7" target="_blank" >10.1007/s10714-017-2234-7</a>

Result language
angličtina
Original language name
Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell p-form theory
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA13-10042S" target="_blank" >GA13-10042S: Higher dimensional gravity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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