Refinements of the Weyl tensor classification in five dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00380712" target="_blank" >RIV/67985840:_____/12:00380712 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0264-9381/29/15/155016" target="_blank" >http://dx.doi.org/10.1088/0264-9381/29/15/155016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0264-9381/29/15/155016" target="_blank" >10.1088/0264-9381/29/15/155016</a>

Result language
angličtina
Original language name
Refinements of the Weyl tensor classification in five dimensions
Original language description
We refine the null alignment classification of the Weyl tensor of a five-dimensional spacetime. The paper focusses on the algebraically special alignment types N, III, II and D, while types I and G are briefly discussed. A first refinement is provided bythe notion of spin type of the components of highest boost weight. Second, we analyze the Segre types of the Weyl operator acting on bivector space and examine the intersection with the spin type classification. We present a full treatment for types N and III, and illustrate the classification from different viewpoints (Segre type, rank, spin type) for types II and D, paying particular attention to possible nilpotence, which is a new feature of higher dimensions. We also point out other essential differences with the four-dimensional case.
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
—

Project
<a href="/en/project/GAP203%2F10%2F0749" target="_blank" >GAP203/10/0749: General relativity in higher dimensions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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