Looping back to the past through free fall in a controlled warp drive spacetime

Fuente: arXiv
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Autores principales: Sajeendran, Achintya, Ralph, Timothy C.
Formato: Preprint
Publicado: 2024
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author Sajeendran, Achintya
Ralph, Timothy C.
author_facet Sajeendran, Achintya
Ralph, Timothy C.
contents We present a modification to a 'rotating' version of the dynamical Alcubierre spacetime, which was previously shown to permit closed timelike curves. We find that if the effective rotation rate is made dependent on the spacetime coordinates within the bubble, a class of closed timelike curves are promoted to spatially circular geodesics. These paths provide a simple model of a free particle interacting with a CTC for a finite proper time interval, entering and exiting in flat spacetime. Despite the questionable physical realisability of our metric, we suggest that it may provide a useful background for future theoretical studies of classical and quantum models of time travel in a general relativistic setting.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18993
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Looping back to the past through free fall in a controlled warp drive spacetime
Sajeendran, Achintya
Ralph, Timothy C.
General Relativity and Quantum Cosmology
83C75, 83CO5 (Primary), 83C47 (Secondary)
We present a modification to a 'rotating' version of the dynamical Alcubierre spacetime, which was previously shown to permit closed timelike curves. We find that if the effective rotation rate is made dependent on the spacetime coordinates within the bubble, a class of closed timelike curves are promoted to spatially circular geodesics. These paths provide a simple model of a free particle interacting with a CTC for a finite proper time interval, entering and exiting in flat spacetime. Despite the questionable physical realisability of our metric, we suggest that it may provide a useful background for future theoretical studies of classical and quantum models of time travel in a general relativistic setting.
title Looping back to the past through free fall in a controlled warp drive spacetime
topic General Relativity and Quantum Cosmology
83C75, 83CO5 (Primary), 83C47 (Secondary)
url https://arxiv.org/abs/2407.18993