On the geometry of stationary Galilean spacetimes
Autor
De la Fuente, Daniel
Pelegrín, José A. S.
Rubio, Rafael M.
Editor
SpringerFecha
2021Materia
Leibnizian and Galilean structuresStationary Galilean spacetime
Geodesic completeness
Global splitting theorems
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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 completeness of stationary Galilean spacetimes as well as the the geometric conditions for these spacetimes that guarantee the existence of a global splitting as a standard stationary Galilean spacetime.