On the existence of geodesics on stationary Lorentz manifolds with convex boundary (Q1180534)

This paper studies the existence of geodesics which do not touch the boundary of what is called a stationary Lorentz manifold with convex boundary. This is a manifold \(M\) of the form \(M_ 0\times \mathbb{R}\) where the metric does not depend on the second factor. Under certain assumptions \(M\) is shown to be geodesically connected.