%0 Journal Article
%T Ricci-flat spacetimes admitting higher rank Killing tensors
%A Marco Cariglia
%A Anton Galajinsky
%J Physics
%D 2015
%I arXiv
%R 10.1016/j.physletb.2015.04.001
%X Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual.
%U http://arxiv.org/abs/1503.02162v1