Abstract
This work analyzes the particle motion in the van Stockum spacetime considering the existence of closed timelike curves (CTCs). Test particles with or without angular momentum are studied in the present geometry. It is found that only nonzero angular momentum test particles exist in the neighborhood of CTCs. The minimum particle energy and the range of backward time jump in closed timelike geodesics (CTGs) are studied within a Cauchy horizon. Finally, a general prescription for CTC and CTG has been presented with appropriate examples.
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