Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
Differential Geometry
2014-05-06 v1
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.
Cite
@article{arxiv.1405.0804,
title = {Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field},
author = {Rossella Bartolo and Anna Maria Candela and José Luis Flores},
journal= {arXiv preprint arXiv:1405.0804},
year = {2014}
}
Comments
21 pages