Optimal time travel in the Godel universe
General Relativity and Quantum Cosmology
2015-05-28 v2 Optimization and Control
Abstract
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.
Keywords
Cite
@article{arxiv.1105.6197,
title = {Optimal time travel in the Godel universe},
author = {Jose Natario},
journal= {arXiv preprint arXiv:1105.6197},
year = {2015}
}
Comments
16 pages, 2 figures; v2: lower bound in the velocity and reference added