On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines
| Autoři | |
|---|---|
| Rok publikování | 2011 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Sci. Proc. Kazan Univ. |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://mi.mathnet.ru/uzku1064 |
| Obor | Obecná matematika |
| Klíčová slova | Lorentzian manifold; Einstein equation; Walker metric; holonomy algebra |
| Popis | 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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