Falling into the Past: Geodesics in a Time Travel Metric
Colin MacLaurin,
Fabio Costa,
Timothy C. Ralph
Affiliations
Colin MacLaurin
School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia
Fabio Costa
School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia
Timothy C. Ralph
Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia
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.
