Closed Timelike Curves and Geodesics of GÖDEL-TYPE Metrics

Details Closed Timelike Curves and Geodesics of GÖDEL-TYPE Metrics Closed Timelike Curves and Geodesics of GÖDEL-TYPE Metrics

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2255s&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

Scientific paper

It is shown that the spacetimes described by Gödel-type metrics with both flat and non-flat backgrounds and with constant uk always have CTCs or CNCs. The geodesic curves of these spacetimes are characterized by a lower dimensional Lorentz force equation for a charged point particle in the relevant Riemannian background. An explicit example is given for which timelike and null geodesics can never be closed.

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