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

  1. Rossella Bartolo 1
  2. Anna Maria Candela 2
  3. José Luis Flores 3
  1. 1 Politecnico di Bari
    info

    Politecnico di Bari

    Bari, Italia

    ROR https://ror.org/03c44v465

  2. 2 University of Bari Aldo Moro
    info

    University of Bari Aldo Moro

    Bari, Italia

    ROR https://ror.org/027ynra39

  3. 3 Universidad de Málaga
    info

    Universidad de Málaga

    Málaga, España

    ROR https://ror.org/036b2ww28

Revista:
Revista matemática iberoamericana

ISSN: 0213-2230

Año de publicación: 2017

Volumen: 33

Número: 1

Páginas: 1-28

Tipo: Artículo

DOI: 10.4171/RMI/926 DIALNET GOOGLE SCHOLAR

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.