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arXiv · hep-th/0309199

Goedel-type Universes and the Landau Problem

Nadav Drukker·Bartomeu Fiol·Joan Simón
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Abstract

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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Nadav Drukker, Bartomeu Fiol, Joan Simón. 2003-09-29. Goedel-type Universes and the Landau Problem. https://doi.org/10.1088/1475-7516%2F2004%2F10%2F012

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