Goedel-type Universes and the Landau Problem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 21 pages, 1 figure. v2 missing references to previous work on the subject added

Scientific paper

10.1088/1475-7516/2004/10/012

We point out a close relation between a family of Goedel-type solutions of 3+1 General Relativity and the Landau problem in S^2, R^2 and H_2; 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 R^2 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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