Geodesic motion and confinement in Gödel's universe
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields1983Vol. 27(4), pp. 779–788
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Abstract
We present a complete study of geodesic motion in G\"odel'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 ($\frac{\mathrm{dt}}{\mathrm{ds}}<0$) without violation of causality. G\"odel'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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