Closed timelike curves and geodesics of Godel-type metrics

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.

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

References in corpus (2)

• The Existence of Godel, Einstein and de Sitter Universes
• Godel-type Metrics in Various Dimensions II: Inclusion of a Dilaton Field

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