On the geometry of stationary Galilean spacetimes

De la Fuente, Daniel; Pelegrín, José A.S.; Rubio, Rafael M.

View/Open

on_the_geometry_of_stationary_galilean_spacetimes (263.6Kb)

Author

De la Fuente, Daniel

Pelegrín, José A.S.

Rubio, Rafael M.

Publisher

Springer

Date

2021

Subject

Leibnizian and Galilean structures
Stationary Galilean spacetime
Geodesic completeness
Global splitting theorems

Abstract

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.

URI

http://hdl.handle.net/10396/27737

Fuente

De la Fuente, D., Pelegrín, J. A. S., & Rubio, R. M. (2021). On the geometry of stationary Galilean spacetimes. General Relativity And Gravitation, 53(1). https://doi.org/10.1007/s10714-020-02772-1

Versión del Editor

https://doi.org/10.1007/s10714-020-02772-1