Geodesic motion and confinement in Gödel's universe

Details Geodesic motion and confinement in Gödel's universe Geodesic motion and confinement in Gödel's universe

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvd..27..779n&link_type=abstract

Physical Review D (Particles and Fields), Volume 27, Issue 4, 15 February 1983, pp.779-788

Physics

26

Scientific paper

We present a complete study of geodesic motion in Gödel's universe, using the method of the effective potential. A clear physical picture of free motion and its stability in this universe emerges. A large class of geodesics have finite intervals in which the particle moves back in time (dtds<0) without violation of causality. Gödel's geometry produces the important property of confinement for a large class of geodesics. We use this property to discuss the construction of a gravitational container. This structure is highly stable, since there is no singularity in its interior, and is independent of the energy of the particles contained in it.

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