Goedel-type Universes and the Landau Problem
High Energy Physics - Theory
2009-11-10 v2 Condensed Matter
General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.hep-th/0309199,
title = {Goedel-type Universes and the Landau Problem},
author = {Nadav Drukker and Bartomeu Fiol and Joan Simón},
journal= {arXiv preprint arXiv:hep-th/0309199},
year = {2009}
}
Comments
Latex, 21 pages, 1 figure. v2 missing references to previous work on the subject added