Extended time-travelling objects in Misner space

Abstract

Misner space is a two-dimensional (2D) locally-flat spacetime which elegantly demonstrates the emergence of closed timelike curves from causally well-behaved initial conditions. Here we explore the motion of rigid extended objects in this time-machine spacetime. This kind of 2D time-travel is found to be risky due to inevitable self-collisions (i.e. collisions of the object with itself). However, in a straightforward four-dimensional generalization of Misner space (a physically more relevant spacetime obviously), we find a wide range of "safe" time-travel orbits free of any self-collisions.

accepted for publication in Physical Review D

References in corpus (3)

• A new time-machine model with compact vacuum core
• Formation of closed timelike curves in a composite vacuum/dust asymptotically-flat spacetime
• Three-Dimensional Billiards with Time Machine

Cited by in corpus (7)

• A type N radiation field solution with $\Lambda <0$ in a curved space-time and closed time-like curves
• Cosmological constant Petrov type-N space-time in Ricci-inverse gravity
• Axial symmetry Type N space-time with a naked curvature singularity and Closed Time-like Curves
• Geometric Analysis of Particular Compactly Constructed Time Machine Spacetimes
• Axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity, closed time-like curves and deviation of geodesics
• Motion of a gyroscope on a closed timelike curve
• Causal classification of pathological Misner-type spacetimes