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arXiv · gr-qc/0512037

Closed timelike curves and geodesics of Godel-type metrics

Reinaldo J. Gleiser·Metin Gurses·Atalay Karasu·Ozgur Sarioglu
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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.

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Reinaldo J. Gleiser, Metin Gurses, Atalay Karasu, Ozgur Sarioglu. 2006-01-28. Closed timelike curves and geodesics of Godel-type metrics. https://doi.org/10.1088/0264-9381%2F23%2F7%2F025

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