2+1 Gravity and Closed Time-Like Curves

Details 2+1 Gravity and Closed Time-Like Curves 2+1 Gravity and Closed Time-Like Curves

1993-11-05

arxiv.org/abs/gr-qc/9311009v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Talk given at the Workshop on ``Constraint Theory and Quantization Methods'',10 pages, Latex, IFUP-TH-43/93

Scientific paper

In this paper we report some results obtained by applying the radial gauge to 2+1 dimensional gravity. The general features of this gauge are reviewed and it is shown how they allow the general solution of the problem in terms of simple quadratures. Then we concentrate on the general stationary problem providing the explicit solving formulas for the metric and the explicit support conditions for the energy momentum tensor. The chosen gauge allows, due to its physical nature, to exploit the weak energy condition and in this connection it is proved that for an open universe conical at space infinity the weak energy condition and the absence of closed time like curves (CTC) at space infinity imply the total absence of CTC. It is pointed out how the approach can be used to examine cosmological solution in 2+1 dimensions.

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