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

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Authors

GALAEV Anton

Year of publication 2011
Type Article in Periodical
Magazine / Source Sci. Proc. Kazan Univ.
MU Faculty or unit

Faculty of Science

Citation
Web http://mi.mathnet.ru/uzku1064
Field General mathematics
Keywords Lorentzian manifold; Einstein equation; Walker metric; holonomy algebra
Description 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.
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