研究时空整体结构的图表方法引入了一个坐标不变边界
The chart based approach to studying the global structure of a spacetime induces a coordinate invariant boundary
摘要：
我证明了基于图表的方法来研究的全球结构的洛伦兹流形诱导同胚的流形到拓扑空间作为一个开放的稠密集。这种同胚的拓扑边界是具有拓扑结构和物理动机分类的理想点的图独立边界。我表明，这个新的边界包含所有其他的边界，可以作为拓扑边界的一个实体。因此，特别是，它是一个推广彭罗斯的共形边界。我提供了三个详细的例子：保形紧的闵可夫斯基时空，斯科特和Szekeres的分析的Curzon奇点和拜尔和亨尼格的分析光滑高迪对称广义Taub-NUT时空。
英文摘要：
I demonstrate that the chart based approach to the study of the global structure of Lorentzian manifolds induces a homeomorphism of the manifold into a topological space as an open dense set. The topological boundary of this homeomorphism is a chart independent boundary of ideal points equipped with a topological structure and a physically motivated classification. I show that this new boundary contains all other boundaries that can be presented as the topological boundary of an envelopment. Hence, in particular, it is a generalisation of Penrose's conformal boundary. I provide three detailed examples: the conformal compactification of Minkowski spacetime, Scott and Szekeres' analysis of the Curzon singularity and Beyer and Hennig's analysis of smooth Gowdy symmetric generalised Taub-NUT spacetimes.
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