Abstract
We exhibit Gödel's geometry in terms of a set of gaussian systems of coordinates, the union of which constitutes a complete cover for the whole manifold. We present a mechanism which induces a particle to follow a closed time-like line (CTL) present in this geometry. We generalize the construction of special class of observers (Generalized Milne Observers) which provides a way to define the largest causal domain allowing a standard field theory to be developed.
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Novello, M., Svaiter, N.F. & Guimarães, M.E.X. Synchronized frames for Gödel's universe. Gen Relat Gravit 25, 137–164 (1993). https://doi.org/10.1007/BF00758823
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DOI: https://doi.org/10.1007/BF00758823