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arXiv · 1110.0173

Gödel's universe and the chronology protection conjecture

P. Pitanga
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Abstract

We present a solution for the geodesic motion in Gödel's universe that provides a particular proof of Hawking's chronology protection conjecture in three-dimensional gravity theory. The solution is based upon the fact that the group of the automorphisms of the Heisenberg motion group H1\timesU(1), modulo discrete sub-group Z, act isometrically on the boundary of the hyperbolic three-dimensional manifold. Closed timelike curves do not exist due to the presence of a closed Cauchy-Riemann surface for chronology protection, with two mirror symmetric sets of helicoidal self-similar modules inside. The present solution is isometrically equivalent to a cylindrical gravitational monochromatic wave front.

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P. Pitanga. 2011-10-26. Gödel's universe and the chronology protection conjecture. https://arxiv.org/abs/1110.0173

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