Publication details
On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Classical and Quantum Gravity |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Lorentzian manifold; Walker metrci; Einstein equation; holonomy |
| Description | We study transformations of coordinates on a Lorentzian Einstein manifold with a parallel distribution of null lines and show that the generalWalker coordinates can be simplified. In these coordinates, the full Lorentzian Einstein equation is reduced to equations on a family of Einstein Riemannian metrics. |
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