On the geometry of stationary Galilean spacetimes

被引：0
|
作者：
Daniel de la Fuente
José A. S. Pelegrín
Rafael M. Rubio
机构：
[1] University of Oviedo,Department of Mathematics
[2] University of Granada,Department of Didactics of Mathematics
[3] University of Córdoba,Department of Mathematics
来源：
General Relativity and Gravitation | 2021年 / 53卷
关键词：
Leibnizian and Galilean structures; Stationary Galilean spacetime; Geodesic completeness; Global splitting theorems; 53Z05; 53C80; 53B50;
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摘要：
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.
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