Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field (Q520706)

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Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
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    Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field (English)
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    5 April 2017
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    In the paper under review, the authors give a characterization of the points which can be connected by geodesics by taking a globally hyperbolic spacetime endowed with a complete light-like Killing vector field and a complete Cauchy hypersurface. An important consequence is the geodesic connectedness of globally hyperbolic generalized plane waves with a complete Cauchy hypersurface.
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    light-like vector field
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    global hyperbolicity
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    geodesic connectedness
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    Killing vector field
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    Cauchy hypersurface
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    stationary spacetime
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    gravitational wave
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    generalized plane wave
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