史瓦西时空中的类时和零测地线:解析解

Q4 Physics and Astronomy Acta Physica Polonica B, Proceedings Supplement Pub Date : 2023-04-25 DOI:10.5506/APhysPolBSupp.16.6-A10

Adam Cie'slik, P. Mach

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引用次数: 1

摘要

史瓦西测地线理论被重新审视。利用Weierstrass和Biermann的一个定理，我们导出了用Weierstrass椭圆函数描述所有类时轨迹和零轨迹的简明公式。本笔记中给出的公式使用了所谓的米诺时间的类似物。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Timelike and Null Geodesics in the Schwarzschild Space-time: Analytical Solutions

The theory of Schwarzschild geodesics is revisited. Using a theorem due to Weierstrass and Biermann, we derive concise formulas describing all timelike and null trajectories in terms of Weierstrass elliptic functions. The formulation given in this note uses an analogue of the so-called Mino time.

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