On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Sci. Proc. Kazan Univ. |
| MU Faculty or unit | |
| 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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