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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 ... -
On the geometry of stationary Galilean spacetimes
De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (Springer, 2021)In this work we introduce a new family of non-relativistic spacetimes: standard stationary Galilean spacetimes, which constitute the local geometric model of stationary Galilean spacetimes. We also study the geodesic ...