Closed timelike curves and geodesics of Godel-type metrics

Details Closed timelike curves and geodesics of Godel-type metrics Closed timelike curves and geodesics of Godel-type metrics

2005-12-06

arxiv.org/abs/gr-qc/0512037v2

Class.Quant.Grav. 23 (2006) 2653-2664

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX 4, 12 pages, no figures; the Introduction has been rewritten, some minor mistakes corrected, many references added

Scientific paper

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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