No Time Machine Construction in Open 2+1 Gravity with Timelike Total Energy Momentum
General Relativity and Quantum Cosmology
2016-08-25 v3 High Energy Physics - Theory
Abstract
It is shown that in 2+1 dimensional gravity an open spacetime with timelike sources and total energy momentum cannot have a stable compactly generated Cauchy horizon. This constitutes a proof of a version of Kabat's conjecture and shows, in particular, that not only a Gott pair cannot be formed from processes such as the decay of a single cosmic string as has been shown by Carroll et al., but that, in a precise sense, a time machine cannot be constructed at all.
Cite
@article{arxiv.gr-qc/9803062,
title = {No Time Machine Construction in Open 2+1 Gravity with Timelike Total Energy Momentum},
author = {Manuel H. Tiglio},
journal= {arXiv preprint arXiv:gr-qc/9803062},
year = {2016}
}
Comments
7 pages. Several changes and 3 figures added. To appear in Phys. Rev. D