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arXiv · 1004.1934

Examples of Einstein spacetimes with recurrent null vector fields

Anton S. Galaev
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Abstract

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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Anton S. Galaev. 2011-08-18. Examples of Einstein spacetimes with recurrent null vector fields. https://doi.org/10.1088/0264-9381%2F28%2F17%2F175022

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