No Time Machine Construction in Open 2+1 Gravity with Timelike Total Energy Momentum
arXiv:gr-qc/9803062 · doi:10.1103/PhysRevD.58.064018
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.
7 pages. Several changes and 3 figures added. To appear in Phys. Rev. D