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

• Rossella Bartolo ^[1] ; Anna Maria Candela ^[2] ; José Luis Flores ^[3]
  1. [1] Politecnico di Bari

     Politecnico di Bari

     Bari, Italia

     
  2. [2] University of Bari Aldo Moro

     University of Bari Aldo Moro

     Bari, Italia

     
  3. [3] Universidad de Málaga

     Universidad de Málaga

     Málaga, España

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 1, 2017, págs. 1-28
• Idioma: inglés
• DOI: 10.4171/RMI/926
• Texto completo no disponible (Saber más ...)
• 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.