An Eternal Time Machine in 2+1 Dimensional anti-de Sitter Space

Abstract

2+1 dimensional anti-de Sitter space has been the subject of much recent investigation. Studies of the behaviour of point particles in this space have given us a greater understanding of the BTZ black hole solutions produced by topological identification of adS isometries. In this paper, we present a new configuration of two orbiting massive point particles that leads to an ``eternal'' time machine, where closed timelike curves fill the entire space. In contrast to previous solutions, this configuration has no event or chronology horizons. Another interesting feature is that there is no lower bound on the relative velocities of the point masses used to construct the time machine; as long as the particles exceed a certain mass threshold, an eternal time machine will be produced.

7 pages, 4 figures. Published in Physical Review D

References in corpus (2)

• Gott Time Machines, BTZ Black Hole Formation, and Choptuik Scaling
• The Anti-de Sitter Gott Universe: A Rotating BTZ Wormhole

Cited by in corpus (7)

• Quantum-corrected black holes and naked singularities in (2+1)-dimensions
• Black hole formation from point-like particles in three-dimensional anti-de Sitter space
• Closed timelike geodesics in a gas of cosmic strings
• Geodesic Structure of Naked Singularities in AdS${}_3$ Spacetime
• Holographic dual of a time machine
• Horizons in 2+1-dimensional collapse of particles
• Causal properties of AdS-isometry groups II: BTZ multi black-holes