On the concept of infinitesimal position vector fields in Galilean spacetimes
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Autor
Caballero, Magdalena
De la Fuente, Daniel
Pelegrín, José A. S.
Rubio, Rafael M.
Editor
World ScientificFecha
2022Materia
Galilean spacetimeObserver
Infinitesimal position vector field
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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 this concept to characterize the family of spatially conformally Leibnizian spacetimes.