Examples of Einstein spacetimes with recurrent null vector fields

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.

7 pages, the final version

References in corpus (8)

• Spacetimes characterized by their scalar curvature invariants
• Kundt Spacetimes
• Metrics With Vanishing Quantum Corrections
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• Time-Dependent Multi-Centre Solutions from New Metrics with Holonomy Sim(n-2)
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Cited by in corpus (2)

• On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines
• Spinors of real type as polyforms and the generalized Killing equation