Examples of Einstein spacetimes with recurrent null vector fields
classification
🧮 math.DG
gr-qchep-th
keywords
fieldsvectoralgebraseinsteinexamplesnullrecurrentadmitting
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The Einstein Equation on 4-dimensional Lorentzian manifolds admitting recurrent null vector fields is discussed. Several examples of a special form are constructed. The holonomy algebras, Petrov types and the Lie algebras of Killing vector fields of the obtained metrics are found.
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