We point out a close relation between a family of Gödel-type solutions of 3+1 general relativity and the Landau problem in and ; in particular, the classical geodesics correspond to Larmor orbits in the Landau problem. We discuss the extent of this relation, by analysing the solutions of the Klein–Gordon equation in these backgrounds. For the case, this relation was independently noticed in hep-th/0306148. Guided by the analogy with the Landau problem, we speculate on the possible holographic description of a single chronologically safe region.