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Examples of Einstein spacetimes with recurrent null vector fields

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.

preprint2011arXivOpen access
Anton S. Galaev
gr-qcmath.DGhep-th
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Anton S. Galaev

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