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arXiv gr-qc/0209040gr-qc
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闵可夫斯基空间中引力作用的路径表示

Gravitational effects in terms of paths in Minkowski space

Michael B. Mensky

摘要:

本文提出了一种方法,使人们能够在不使用任何具体的时空几何模型(或一类几何模型),甚至不使用任何坐标系的情况下分析引力效应。相反,使用路径组的形式主义。这个群的一个元素(闵可夫斯基空间中的一类曲线)与弯曲时空中的每一条曲线相关联,并称为它的“平坦模型”。用闭合曲线的平坦模型对观测数据进行分析,被解释为一个“天真的观测者”(对弯曲的时空一无所知)对其观测所作的分析的形式化。

英文摘要:

An approach is developed which enables one to analyze gravitational effects without usage of any concrete model of geometry (or a class of models of geometry) of space-time and even without any coordinate system. Instead, the formalism of the group of paths is used. An element of this group (a class of curves in Minkowski space) is associated with each curve in the curved space-time and called its `flat model'. The analysis of observational data in terms of flat models of closed curves is interpreted as a formalization of the analysis which a `naive observer' (knowing nothing about the space-time being curved) applies to his observations.

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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