Some remarks on a new exotic spacetime for time travel by free fall

Abstract

This work is essentially a review of a new spacetime model with closed causal curves, recently presented in another paper (Class. Quantum Grav. \textbf{35}(16) (2018), 165003). The spacetime at issue is topologically trivial, free of curvature singularities, and even time and space orientable. Besides summarizing previous results on causal geodesics, tidal accelerations and violations of the energy conditions, here redshift/blueshift effects and the Hawking-Ellis classification of the stress-energy tensor are examined.

17 pages, 9 figures. Submitted as a contribution to the proceedings of "DOMOSCHOOL - International Alpine School of Mathematics and Physics, Domodossola 2018". Possible text overlaps with my previous work arXiv:1803.08214, of which this is essentially a review. Additional results concerning redshift/blueshift effects and the classification of the stress-energy tensor are presented here

References in corpus (7)

• Warp drive basics
• Formation of closed timelike curves in a composite vacuum/dust asymptotically-flat spacetime
• Closed Timelike Curves and "Effective" Superluminal Travel with Naked Line Singularities
• Essential core of the Hawking--Ellis types
• A type N radiation field solution with $\Lambda <0$ in a curved space-time and closed time-like curves
• A time machine for free fall into the past
• Time machines with the compactly determined Cauchy horizon