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Closed Timelike Curves in Flat Lorentz Spacetimes

Virginie Charette·Todd A. Drumm·Dieter Brill
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Abstract

We consider the region of closed timelike curves (CTC's) in three-dimensional flat Lorentz spacetimes. The interest in this global geometrical feature goes beyond the purely mathematical. Such spacetimes may be considered lower-dimensional toy models of sourceless Einstein gravity or cosmology. In particular, our interest in this note will be to find the set free of CTC's for $E/<γ>$, where $E$ is modeled on Minkowski space and $γ$ is a Poincaré transformation. We describe the set free of CTC's where $γ$ is hyperbolic, parabolic and elliptic.

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Virginie Charette, Todd A. Drumm, Dieter Brill. 2002-07-10. Closed Timelike Curves in Flat Lorentz Spacetimes. https://doi.org/10.1016/s0393-0440(02)00153-5

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