How much energy do closed timelike curves in 2+1 spacetimes need?

Abstract

By noticing that, in open 2+1 gravity, polarized surfaces cannot converge in the presence of timelike total energy momentum (except for a rotation of 2 pi), we give a simple argument which shows that, quite generally, closed timelike curves cannot exist in the presence of such energy condition.

3 pages, with no figures. Accepted in PRD as Rapid Communication

References in corpus (6)

• Quantum Field Theory on Spacetimes with a Compactly Generated Cauchy Horizon
• On "asymptotically flat" space-times with $G_2$-invariant Cauchy surfaces
• Energy-Momentum Restrictions on the Creation of Gott Time Machines
• Closed time like curve and the energy condition in 2+1 dimensional gravity
• Stationary Solutions and Closed Time-Like Curve in 2+1 Dimensional Gravity
• No Time Machine Construction in Open 2+1 Gravity with Timelike Total Energy Momentum