A note on geodesic connectedness of G\"odel type spacetimes
  In this note we reduce the problem of geodesic connectedness in a wide class of G\"odel type spacetimes to the search of critical points of a functional naturally involved in the study of geodesics in standard static spacetimes. Then, by using some known accurate results on the latter, we improve previous results on the former. 
R. Bartolo, A.M. Candela, J.L. Flores
math.DG