• Completeness of uniformly accelerated observers in Galilean spacetimes 

      De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (Springer, 2022)
      We analyze the concept of uniformly accelerated observer in Galilean spacetimes in the context of Newton–Cartan theory and find natural geometric assumptions to ensure that an inextensible uniformly accelerated observer ...
    • On the concept of infinitesimal position vector fields in Galilean spacetimes 

      Caballero, Magdalena; De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (World Scientific, 2022)
      We introduce two different ways to establish the concept of infinitesimal position vector field between “infinitesimally nearby” observers in a Galilean spacetime as well as show their mathematical equivalence. We also use ...