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

Revista Matematica Iberoamericana - Tập 33 Số 1 - Trang 1-28 - 2017
Rossella Bartolo1, Anna María Candela2, José Luis Flores Dorado3
1Politecnico di Bari, Italy
2Università degli Studi di Bari (, Italy
3Universidad de Málaga, Spain

Tóm tắt

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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