On the Goldberg-Sachs theorem in six dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00508333" target="_blank" >RIV/67985840:_____/19:00508333 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10714-019-2592-4" target="_blank" >http://dx.doi.org/10.1007/s10714-019-2592-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10714-019-2592-4" target="_blank" >10.1007/s10714-019-2592-4</a>

Result language
angličtina
Original language name
On the Goldberg-Sachs theorem in six dimensions
Original language description
We study the “shear-free” part of the Goldberg–Sachs theorem for type II and D six-dimensional Einstein spacetimes. A spacetime is of the type II or D if it admits a double Weyl aligned null direction (WAND). The Goldberg–Sachs theorem then restricts geometric properties of double WANDs. This restriction can be expressed in terms of constraints on the form of the “optical matrix” defining the expansion, rotation, and shear of the double WAND. We show that a rank-four and rank-three optical matrix is orthogonally similar to one of three canonical forms, reducing the number of free parameters of the optical matrix from ten to five.
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-09659S" target="_blank" >GA19-09659S: Exact solutions of gravity theories: black holes, radiative spacetimes and electromagnetic fields</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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