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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011, Volume 153, Book 3, Pages 165–174 (Mi uzku1064)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines

A. S. Galaev

Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic
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Abstract: Some recent results about Einstein Lorentzian manifolds that admit parallel distributions of isotropic lines are reviewed. We find all holonomy algebras of such manifolds and describe special coordinates that allow us to simplify the Einstein equation. Examples in dimension 4 are considered.
Keywords: Lorentzian manifold, Einstein equation, Walker metric, holonomy algebra, recurrent light-like vector field, Petrov classification.
Received: 06.12.2010
Document Type: Article
UDC: 514.83
Language: English
Citation: A. S. Galaev, “On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153, no. 3, Kazan University, Kazan, 2011, 165–174
Citation in format AMSBIB
\Bibitem{Gal11}
\by A.~S.~Galaev
\paper On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2011
\vol 153
\issue 3
\pages 165--174
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1064}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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