Closed timelike curves and geodesics of Godel-type metrics
CLASSICAL AND QUANTUM GRAVITY, vol.23, no.7, pp.2653-2663, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23 Issue: 7
- Publication Date: 2006
- Doi Number: 10.1088/0264-9381/23/7/025
- Journal Name: CLASSICAL AND QUANTUM GRAVITY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2653-2663
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
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.