Killing vectors in higher dimensional spacetimes with constant scalar curvature invariants
Differential Geometry
2012-11-30 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study the existence of a non-spacelike isometry, \zeta, in higher dimensional Kundt spacetimes with constant scalar curvature invariants (CSI). We present the particular forms for the null or timelike Killing vectors and a set of constraints for the metric functions in each case. Within the class of N dimensional CSI Kundt spacetimes, admitting a non-spacelike isometry, we determine which of these can admit a covariantly constant null vector that also satisfy \zeta_{[a;b]} = 0.
Keywords
Cite
@article{arxiv.1210.7365,
title = {Killing vectors in higher dimensional spacetimes with constant scalar curvature invariants},
author = {David McNutt and Nicos Pelavas and Alan Coley},
journal= {arXiv preprint arXiv:1210.7365},
year = {2012}
}
Comments
20 pages