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

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Authors

GALAEV Anton

Year of publication 2010
Type Article in Proceedings
Conference RELATIVITY, GRAVITY and GEOMETRY. Petrov 2010 Anniversary Symposium on General Relativity and Gravitation. Contributed Papers. Kazan, 1–6 November, 2010
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Einstein Lorentzian manifold; special holonomy
Description Some recent results about Einstein Lorentzian manifolds that admit parallel distributions of isotropic lines are reviewed. All holonomy algebras of such manifolds are found. Special coordinates that allow to simplify the Einstein equation are described. Examples in dimension 4 are considered.
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