Geodesic motion and confinement in Goedel's universe

We present a complete study of geodesic motion in Goedel'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 large class of geodesics have finite intervals in which the particle moves back in time (dt/ds<0) without violation of causality. Goedel'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