Killing vectors in higher dimensional spacetimes with constant scalar   curvature invariants
  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. 
David McNutt, Nicos Pelavas, Alan Coley
math.DG hep-th math-ph math.MP