X iv : g r - qc / 9 71 20 71 v 1 1 6 D ec 1 99 7 Riemannian Space - times of Gödel Type in Five Dimensions

  • M. J. Rebouças
  • Published 1997


The five-dimensional (5D) Riemannian Gödel-type manifolds are examined in light of the equivalence problem techniques, as formulated by Cartan. The necessary and sufficient conditions for local homogeneity of these 5D manifolds are derived. The local equivalence of these homogeneous Riemannian manifolds is studied. It is found that they are characterized by… (More)