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.

中文翻译：

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关于静止伽利略时空的几何学

在这项工作中，我们引入了一个新的非相对论时空族：标准静止伽利略时空，它们构成了静止伽利略时空的局部几何模型。我们还研究了静止伽利略时空的测地线完整性以及这些时空的几何条件，这些条件保证了作为标准静止伽利略时空的全局分裂的存在。