Closed time like curve and the energy condition in 2+1 dimensional gravity

Abstract

We consider gravity in 2+1 dimensions in presence of extended stationary sources with rotational symmetry. We prove by direct use of Einstein's equations that if i) the energy momentum tensor satisfies the weak energy condition, ii) the universe is open (conical at space infinity), iii) there are no CTC at space infinity, then there are no CTC at all.

10 pages (REVTEX 3.0), IFUP-60/92

References in corpus (1)

• Gott Time Machines Cannot Exist in an Open (2+1)-Dimensional Universe With Timelike Total Momentum

Cited by in corpus (16)

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• Chern-Simons Quantization of (2+1)-Anti-De Sitter Gravity on a Torus
• Stationary Solutions and Closed Time-Like Curve in 2+1 Dimensional Gravity
• (2+1)-Gravity Solutions with Spinning Particles
• No Time Machine Construction in Open 2+1 Gravity with Timelike Total Energy Momentum
• Exact Results in Chern-Simons Supergravity
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• Chronology protection in stationary 3D spacetimes
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• Fermi-Walker gauge in 2+1 dimensional gravity.
• How much energy do closed timelike curves in 2+1 spacetimes need?