Goedel-type Universes and the Landau Problem

Balasubramanian V; Banks T; Banks T; Banks T; Banks T Fischler W; Bartomeu Fiol; Bousso R; Bousso R; Brace D; Brace D Herdeiro C A Hirano S; Brecher D Danielsson U H Gregory J P Olsson M E; Brecher D DeBoer P A Page D C Rozali M; Caldarelli M M; Calvao M O; Drukker N Fiol B Simón J; Duarte de Oliveira J; Dyson L; Dyson L; Elvang H Polchinski J; Emparan R; Figueiredo B D; Gauntlett J P; Gauntlett J P Gutowski J B Hull C M Pakis S Reall H S; Gibbons G; Gibbons G W; Goheer N; Gödel K; Halperin B I; Herdeiro C A; Hikida Y Rey S J; Horowitz G T; Joan Simón; Karabali D Nair V P; Li M; Maldacena J M; Nadav Drukker; Pfarr J; Polychronakos A P; Rebouças M J; Rooman M; Seiberg N; Som M M; Takayanagi H; Volovich A

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

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Last time updated on 04/12/2019