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Abstract
We present an analysis of the motion of test particles in Godel's universe. Both geodesical and nongeodesical motions are considered; the accelerations for nongeodesical motions are given. Examples for closed timelike world lines are shown and the dynamical conditions for time travel in Godel's space-time are discussed. It is shown that these conditions alone do not suffice to exclude time travel in Godel's space-time.
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