Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
Rossella Bartolo
Politecnico di Bari, ItalyAnna Maria Candela
Università degli Studi di Bari, ItalyJosé Luis Flores Dorado
Universidad de Málaga, Spain
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Abstract
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.
Cite this article
Rossella Bartolo, Anna Maria Candela, José Luis Flores Dorado, Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field. Rev. Mat. Iberoam. 33 (2017), no. 1, pp. 1–28
DOI 10.4171/RMI/926