On the geometry of stationary Galilean spacetimes

被引：3
|
作者：
de la Fuente, Daniel [1 ]
Pelegrin, Jose A. S. [2 ]
Rubio, Rafael M. [3 ]
机构：
[1] Univ Oviedo, Dept Math, Gijon 33003, Spain
[2] Univ Granada, Dept Didact Math, Granada 18071, Spain
[3] Univ Cordoba, Dept Math, Cordoba 14071, Spain
来源：
GENERAL RELATIVITY AND GRAVITATION | 2021年 / 53卷 / 01期
关键词：
Leibnizian and Galilean structures; Stationary Galilean spacetime; Geodesic completeness; Global splitting theorems; UNIQUENESS;
D O I：
10.1007/s10714-020-02772-1
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
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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页数：15
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