Now showing items 1-4 of 4

    • A Moser–Bernstein problem for Riemannian warped products 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael (Springer, 2020)
      In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has classically been studied in the the Euclidean n-dimensional space and it is known as the Moser–Bernstein ...
    • Complete spacelike hypersurfaces on symmetric spacetimes 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (IOP Publishing, 2020)
      A Lorentz manifold (M, g) is said to be a conformally stationary spacetime if it is endowed with a globally defined conformal timelike vector field K, whereas it is a pp-wave when there is a globally defined parallel ...
    • New examples of static spacetimes admitting a unique standard decomposition 

      Albujer, Alma L.; Herrera, Jónatan; Rubio, Rafael M. (SpringerLink, 2019)
      In this paper we introduce a new general approach for the study of spacetimes admitting a standard static splitting. This approach allows us to give an alternative proof for the uniqueness of splitting in the spatially ...
    • Relativistic particles with torsion in three-dimensional non-vacuum spacetimes 

      Herrera, Jónatan; Rosa, M. de la; Rubio, Rafael (American Institute of Physics, 2021)
      In this paper, we analyze trajectories of spacelike curves that are critical points of a Lagrangian depending on its total torsion. We focus on two important families of spacetimes, generalized Robertson–Walker and standard ...