Goedel-type Universes and the Landau Problem
Abstract
We point out a close relation between a family of Goedel-type solutions of 3+1 General Relativity and the Landau problem in S2, R2 and H2; in particular, the classical geodesics correspond to Larmor orbits in the Landau problem. We discuss the extent of this relation, by analyzing the solutions of the Klein-Gordon equation in these backgrounds. For the R2 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.
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