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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.61.081503

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.

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