MG13 - Talk detail |
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Participant |
Pravdova, Alena | |||||||
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Institution |
Institute of Mathematics of the Czech Academy of Sciences - Zitna 25 - Prague - - Czech Republic | |||||||
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Session |
AT1 |
Accepted |
Yes |
Order |
6 |
Time |
20' | |
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Talk |
Oral abstract |
Title |
On five-dimensional version of the Goldberg-Sachs theorem | |||||
| Co-authors | M. Ortaggio, V. Pravda, H. S. Reall | |||||||
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Abstract |
We study a generalization of the Godlberg-Sachs theorem to higher dimensions. First we derive general constraints that hold for algebraically special Einstein spacetimes in arbitrary dimension. We then focus on the case of five dimensions and we determine necessary algebraic conditions on the optical matrix for algebraically special Einstein spacetimes. We prove that there are three canonical classes of the optical matrices. We provide explicit examples of spacetimes corresponding to each form discussed. |
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