Spacetimes of Weyl and Ricci type N in higher dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459076" target="_blank" >RIV/67985840:_____/16:00459076 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0264-9381/33/11/115006" target="_blank" >http://dx.doi.org/10.1088/0264-9381/33/11/115006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0264-9381/33/11/115006" target="_blank" >10.1088/0264-9381/33/11/115006</a>

Result language
angličtina
Original language name
Spacetimes of Weyl and Ricci type N in higher dimensions
Original language description
We study the geometrical properties of null congruences generated by an aligned null direction of the Weyl tensor (WAND) in spacetimes of Weyl and Ricci type N (possibly with a non-vanishing cosmological constant) in an arbitrary dimension. We prove that a type N Ricci tensor and a type III or N Weyl tensor have to be aligned. In such spacetimes, the multiple WAND has to be geodetic. For spacetimes with type N aligned Weyl and Ricci tensors, the canonical form of the optical matrix in the twisting and non-twisting cases is derived and the dependence of the Weyl and the Ricci tensors and Ricci rotation coefficients on the affine parameter of the geodetic null congruence generated by the WAND is obtained.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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