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Stationary Solutions in 2+1 Dimensional Gravity and Closed Time-Like Curves

P. Menotti·D. Seminara
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Abstract

We apply the reduced radial gauge to give the general solution of the metric in 2+1 dimensions in term of quadratures. It allows a complete controll on the support of the source. We use the result to prove that for a general stationary universe, conical at infinity, the weak energy condition and the absence of CTC at space infinity prevent the occurrrence of any CTC.

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P. Menotti, D. Seminara. 1994-01-08. Stationary Solutions in 2+1 Dimensional Gravity and Closed Time-Like Curves. https://arxiv.org/abs/gr-qc/9401008

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