On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines
Differential Geometry
2010-10-15 v3 High Energy Physics - Theory
Abstract
We study transformations of coordinates on a Lorentzian Einstein manifold with a parallel distribution of null lines and show that the general Walker coordinates can be simplified. In these coordinates, the full Lorentzian Einstein equation is reduced to equations on a family of Einstein Riemannian metrics.
Keywords
Cite
@article{arxiv.0912.3400,
title = {On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines},
author = {Anton S. Galaev and Thomas Leistner},
journal= {arXiv preprint arXiv:0912.3400},
year = {2010}
}
Comments
Dedicated to Dmitri Vladimirovich Alekseevsky on his 70th birthday