Suhr, Stefan (2010) Closed geodesics in Lorentzian surfaces. Preprintreihe der Fakultät Mathematik 24/2010, Working Paper. (Unpublished)
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We introduce class A spacetimes, i.e. compact vicious spacetimes (M; g) such that the Abelian cover (M; g) is globally hyperbolic. We study the main properties of class A spacetimes using methods similar to the one introduced in  and . As a consequence we are able to characterize manifolds admitting class A metrics completely as mapping tori. The set of class A spacetimes is shown to be open in the C0-topology on the set of Lorentzian metrics. As an application we prove a coarse Lipschitz property for the time
separation of the Abelian cover.
|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Felix Finster|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||13 Apr 2011 04:05|
|Last Modified:||13 Apr 2011 04:05|