Introducing a general time machine solution and analysis of a vacuum spacetime generating closed timelike curves
Department of Physics, Gauhati University, 781014, Guwahati, Assam, India
Accepted: 29 November 2021
Published online: 13 December 2021
We present a general time machine spacetime in which closed timelike curves are formed at some particular instant of time from an initial spacelike hypersurface from well-behaved initial conditions. We show that a known result in the literature can be obtained as a particular case of the general spacetime. Finally, from the generalized spacetime, we obtain a vacuum solution exhibiting causality violation. The physical properties of this solution are explored in some detail. The formation of closed timelike curves is analogous to that of the two-dimensional Misner space metric.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021