Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
- Rossella Bartolo 1
- Anna Maria Candela 2
- José Luis Flores 3
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1
Politecnico di Bari
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2
University of Bari Aldo Moro
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3
Universidad de Málaga
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ISSN: 0213-2230
Año de publicación: 2017
Volumen: 33
Número: 1
Páginas: 1-28
Tipo: Artículo
Otras publicaciones en: Revista matemática iberoamericana
Resumen
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.