Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
arXiv:1405.0804
Abstract
Given a globally hyperbolic spacetime endowed with a complete lightlike Killing vector field and a complete Cauchy hypersurface, we characterize the points which can be connected by geodesics. A straightforward consequence is the geodesic connectedness of globally hyperbolic generalized plane waves with a complete Cauchy hypersurface.
21 pages