Examples of Einstein spacetimes with recurrent null vector fields
Differential Geometry
2011-08-22 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
Cite
@article{arxiv.1004.1934,
title = {Examples of Einstein spacetimes with recurrent null vector fields},
author = {Anton S. Galaev},
journal= {arXiv preprint arXiv:1004.1934},
year = {2011}
}
Comments
7 pages, the final version