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arXiv 2109.04061gr-qc
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当你接近引力奇点时会发生什么?

What actually happens when you approach a gravitational singularity?

Susan M. Scott, Ben E. Whale

摘要:

罗杰·彭罗斯的2020年诺贝尔物理学奖承认他对“引力奇点”和“不完整,不可扩展,零测地线”概念的识别在物理上非常重要。一个不完整的,不可扩展的,零测地线的存在并没有说太多,但是,如果有的话,关于曲率发散,也不是一个有用的定义进行实际计算。物理学家长期以来一直在寻找一种独立于坐标的方法来定义奇点的位置,给定一个不完整的,不可扩展的零测地线,这也允许标准的分析技术被实施。在这篇文章中,我们提出了一个解决这个问题的方法。现在可以给出一条不完整的、不可延伸的零测地线和引力奇点之间的具体关系,并使用标准技术研究任何可能的曲率发散。

英文摘要:

Roger Penrose's 2020 Nobel Prize in Physics recognises that his identification of the concepts of "gravitational singularity" and an "incomplete, inextendible, null geodesic" is physically very important. The existence of an incomplete, inextendible, null geodesic doesn't say much, however, if anything, about curvature divergence, nor is it a helpful definition for performing actual calculations. Physicists have long sought for a coordinate independent method of defining where a singularity is located, given an incomplete, inextendible, null geodesic, that also allows for standard analytic techniques to be implemented. In this essay we present a solution to this issue. It is now possible to give a concrete relationship between an incomplete, inextendible, null geodesic and a gravitational singularity, and to study any possible curvature divergence using standard techniques.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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