On higher dimensional Einstein spacetimes with a non-degenerate double Weyl aligned null direction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00487350" target="_blank" >RIV/67985840:_____/18:00487350 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1361-6382/aaae25" target="_blank" >http://dx.doi.org/10.1088/1361-6382/aaae25</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6382/aaae25" target="_blank" >10.1088/1361-6382/aaae25</a>

Result language
angličtina
Original language name
On higher dimensional Einstein spacetimes with a non-degenerate double Weyl aligned null direction
Original language description
We prove that higher dimensional Einstein spacetimes which possess a geodesic, non-degenerate double Weyl aligned null direction (WAND) $bl$ must additionally possess a second double WAND (thus being of type D) if either: (a) {the Weyl tensor obeys $C_{abc[d}ell_{e]}ell^c=0$ ($LeftrightarrowPhi_{ij}=0$, i.e.,} the Weyl type is II(abd)), (b) $bl$ is twistfree. Some comments about an extension of the Goldberg-Sachs theorem to six dimensions are also made.
Czech name
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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/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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