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.

Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field / Bartolo, Rossella; Candela, Am; Flores, Jl. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 33:1(2017), pp. 1-28. [10.4171/rmi/926]

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

BARTOLO, Rossella;
2017-01-01

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.
2017
Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field / Bartolo, Rossella; Candela, Am; Flores, Jl. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 33:1(2017), pp. 1-28. [10.4171/rmi/926]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/6688
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