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- W1985453456 abstract "We introduce class A spacetimes, i.e. compact vicious spacetimes (M, g) such that the Abelian cover $${(overline{M}, overline{g})}$$ is globally hyperbolic. We study the main properties of class A spacetimes using methods similar to those introduced in Sullivan (Invent Math 36:225–255, 1976) and Burago (Adv Sov Math 9:205–210, 1992). As a consequence we are able to characterize manifolds admitting class A metrics completely as mapping tori. Further we show that the notion of class A spacetime is equivalent to that of SCTP (spacially compact time-periodic) spacetimes as introduced in Galloway (Comm Math Phys 96:423–429, 1984). The set of class A spacetimes is shown to be open in the C 0-topology on the set of Lorentzian metrics. As an application we prove a coarse Lipschitz property for the time separation of the Abelian cover. This coarse Lipschitz property is an essential part in the study of Aubry-Mather theory in Lorentzian geometry." @default.
- W1985453456 created "2016-06-24" @default.
- W1985453456 creator A5070808491 @default.
- W1985453456 date "2011-10-22" @default.
- W1985453456 modified "2023-09-23" @default.
- W1985453456 title "Class A spacetimes" @default.
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- W1985453456 doi "https://doi.org/10.1007/s10711-011-9671-3" @default.
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