Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field

2014/05/05 by Rossella Bartolo, Bartolo, Rossella, Anna Maria Candela +3
Mathematics · #53C22 #53C50 #58E10 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C22 #msc:53C50 #msc:58E10

paper · pdf · doi:10.48550/arxiv.1405.0804

21 pages

arxiv created 2014/05/05 · arxiv updated 2014/05/06

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.

Related

• Remarks on global geodesic properties of Gödel type spacetimes
• A note on geodesic connectedness of Gödel type spacetimes
• Conical spacetimes and global hyperbolicity
• Convex Functions and Geodesic Connectedness of Space-times
• Geodesic connectedness of multiwarped spacetimes