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On the Goldberg-Sachs theorem in five dimensions
- 1.0442121 - MÚ 2016 RIV SG eng C - Conference Paper (international conference)
Ortaggio, Marcello - Pravda, Vojtěch - Pravdová, Alena - Reall, H.
On the Goldberg-Sachs theorem in five dimensions.
The Thirteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories. Singapore: World Scientific, 2015 - (Rosquist, K.; Jantzen, R.; Ruffini, R.), s. 1068-1070. ISBN 978-981-4612-14-2.
[Proceedings of the MG13 Meeting on General Relativity. Stockholm (SE), 01.07.2012-07.07.2012]
R&D Projects: GA ČR GA13-10042S
Institutional support: RVO:67985840
Keywords : algebraic classification * exact solutions
Subject RIV: BA - General Mathematics
http://www.worldscientific.com/doi/abs/10.1142/9789814623995_0083
Main results on a generalization of the Goldberg-Sachs theorem to five dimensional Einstein spacetimes are briefly overviewed. In particular, we focus on necessary conditions on the optical matrix of a multiple WAND. We point out that there are three canonical classes of the 3 × 3 optical matrices, each involving just two parameters. We refer to explicit examples of spacetimes corresponding to each of these forms.
Permanent Link: http://hdl.handle.net/11104/0245004
File Download Size Commentary Version Access Ortaggio2.pdf 3 121 KB Publisher’s postprint require
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