Falling into the Past: Geodesics in a Time Travel Metric

Author:

MacLaurin Colin1ORCID,Costa Fabio12ORCID,Ralph Timothy C.3

Affiliation:

1. School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia

2. Nordita, Stockholm University and KTH Royal Institute of Technology, Hannes Alfvéns väg 12, SE-106 91 Stockholm, Sweden

3. Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia

Abstract

We investigate timelike and null geodesics within the rotating “time machine” spacetime proposed by Ralph, T.C.; et al. Phys. Rev. D 2020, 102, 124013. This is a rotating analogue of Alcubierre’s warp drive spacetime. We obtain geodesics that begin and end in the surrounding flat space region, yet achieve time travel relative to static observers there. This is a global property, as the geodesics remain locally future-pointing, as well as timelike or null.

Funder

Australian Research Council Centre of Excellence for Quantum Computation and Communication Technology

NordForsk

Publisher

MDPI AG

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