Connectivity by Geodesics on Globally Hyperbolic Spacetimes with A Lightlike Killing Vector Field
Revista matemática iberoamericana(2017)
摘要
Taking 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.
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