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.File in questo prodotto:
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