Conditions for the existence of closed timelike curves in 2+1 gravity

Physics

Scientific paper

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Exact Solutions, Relativity And Gravitation, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We consider open universe solutions to Einstein gravity in 2+1
dimensions, and conjecture that closed timelike curves do not exist
surrounding a system of spinless particles with timelike total momentum.
We prove this for a general two-particle system, and provide evidence
for the conjecture in the case of N particles.

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