The role of closed timelike curves in particle motion within Van Stockum space-time: A generalization

Fuente: arXiv
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Main Authors: Dutta, Ayanendu, Roy, Dhritimalya, Chakraborty, Subenoy
Format: Preprint
Published: 2022
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author Dutta, Ayanendu
Roy, Dhritimalya
Chakraborty, Subenoy
author_facet Dutta, Ayanendu
Roy, Dhritimalya
Chakraborty, Subenoy
contents The present work analyses the particle motion in the Van Stockum space-time considering the existence of closed timelike curves. Test particles with or without angular momentum are studied in the present geometry. It is found that only non-zero angular momentum test particles exist in the neighborhood of closed timelike curves. The minimum particle energy and the range of backward time jump in closed timelike geodesics are studied within a Cauchy horizon. Finally, a general prescription for CTC and CTG has been presented with appropriate examples.
format Preprint
id arxiv_https___arxiv_org_abs_2208_14768
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The role of closed timelike curves in particle motion within Van Stockum space-time: A generalization
Dutta, Ayanendu
Roy, Dhritimalya
Chakraborty, Subenoy
General Relativity and Quantum Cosmology
The present work analyses the particle motion in the Van Stockum space-time considering the existence of closed timelike curves. Test particles with or without angular momentum are studied in the present geometry. It is found that only non-zero angular momentum test particles exist in the neighborhood of closed timelike curves. The minimum particle energy and the range of backward time jump in closed timelike geodesics are studied within a Cauchy horizon. Finally, a general prescription for CTC and CTG has been presented with appropriate examples.
title The role of closed timelike curves in particle motion within Van Stockum space-time: A generalization
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2208.14768