Optimal time travel in the Godel universe

Details Optimal time travel in the Godel universe Optimal time travel in the Godel universe

2011-05-31

arxiv.org/abs/1105.6197v2

Gen. Rel. Grav. 44 (2012) 855-874

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 2 figures; v2: lower bound in the velocity and reference added

Scientific paper

Using the theory of optimal rocket trajectories in general relativity, recently developed in arXiv:1105.5235, we present a candidate for the minimum total integrated acceleration closed timelike curve in the Godel universe, and give evidence for its minimality. The total integrated acceleration of this curve is lower than Malament's conjectured value (Malament, 1984), as was already implicit in the work of Manchak (Manchak, 2011); however, Malament's conjecture does seem to hold for periodic closed timelike curves.

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