Closed timelike curves and geodesics of Godel-type metrics
General Relativity and Quantum Cosmology
2015-06-25 v2 High Energy Physics - Theory
Abstract
It is shown explicitly that when the characteristic vector field that defines a Godel-type metric is also a Killing vector, there always exist closed timelike or null curves in spacetimes described by such a metric. For these geometries, the geodesic curves are also shown to be characterized by a lower dimensional Lorentz force equation for a charged point particle in the relevant Riemannian background. Moreover, two explicit examples are given for which timelike and null geodesics can never be closed.
Cite
@article{arxiv.gr-qc/0512037,
title = {Closed timelike curves and geodesics of Godel-type metrics},
author = {Reinaldo J. Gleiser and Metin Gurses and Atalay Karasu and Ozgur Sarioglu},
journal= {arXiv preprint arXiv:gr-qc/0512037},
year = {2015}
}
Comments
REVTeX 4, 12 pages, no figures; the Introduction has been rewritten, some minor mistakes corrected, many references added