The Ori-Soen time machine

Abstract

Ori and Soen have proposed a spacetime which has closed causal curves on the boundary of a region of normal causality, all within a region where the weak energy condition (positive energy density) is satisfied. I analyze the causal structure of this spacetime in some simplified models, show that the Cauchy horizon is compactly generated, and argue that any attempt to build such a spacetime with normal matter might lead to singular behavior where the causality violation would otherwise take place.

5 pages, RevTeX, 7 figures with epsf, miscellaneous clarifications in v2, minor updates to correspond to version to appear in PRD

References in corpus (2)

• A Self-Consistent Vacuum for Misner Space and the Chronology Protection Conjecture
• A singularity-free WEC-respecting time machine

Cited by in corpus (5)

• Formation of closed timelike curves in a composite vacuum/dust asymptotically-flat spacetime
• Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes
• Cylindrically symmetric, Asymptotically flat, Petrov Type D spacetime with a Naked Curvature Singularity and Matter Collapse
• The boundary of the chronology violating set
• Axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity, closed time-like curves and deviation of geodesics