Examples of Einstein spacetimes with recurrent null vector fields

Details Examples of Einstein spacetimes with recurrent null vector fields Examples of Einstein spacetimes with recurrent null vector fields

2010-04-12

arxiv.org/abs/1004.1934v2

Class.Quant.Grav.28:175022,2011

Mathematics

Differential Geometry

7 pages, the final version

Scientific paper

10.1088/0264-9381/28/17/175022

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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