Time machine and geodesic motion in Kerr metric

Details Time machine and geodesic motion in Kerr metric Time machine and geodesic motion in Kerr metric

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..155c&link_type=abstract

General Relativity and Gravitation, vol. 9, Feb. 1978, p. 155-163. Research supported by the Consiglio Nazionale delle Ricerche

Mathematics

13

Geodesic Lines, Metric Space, Relativity, Time, Field Theory (Physics), Gravitational Fields, Singularity (Mathematics), Space-Time Functions

Scientific paper

It is well known that the Kerr metric admits nontrivial causality violation in a small region (V.R. region) where the Killing vector becomes timelike. In the special case of a naked singularity, this region can be physically connected to the outer space with the particular class of null or timelike geodesics said to be of the vortical type. Members of a simple class of vortical geodesics confined on a family of hyperboloids are shown not to violate causality in the sense of coming back out at an earlier time even if they transverse the V.R. region.

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