1210.7365 (David McNutt et al.)

Killing vectors in higher dimensional spacetimes with constant scalar
curvature invariants    [PDF]

David McNutt, Nicos Pelavas, Alan Coley

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.

View original: http://arxiv.org/abs/1210.7365