从费马原理看积分动力学

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-18 DOI:arxiv-2409.11896

Joanna Piwnik, Joanna Gonera, Cezary Gonera, Piotr Kosinski

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引用次数: 0

摘要

从可积分系统的角度研究了根据费马原理产生的克尔公设中的光线轨迹。本文展示了卡特常数的对应物是如何作为耦合常数变形的结果而出现的。后者为描述克尔公度量中的空大地线提供了方便的方法。

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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Integrable dynamics from Fermat's principle

The light rays trajectories in Kerr metric, resulting from Fermat's principle, are considered from the point of view of integrable systems. It is shown how the counterpart of Carter constant emerges as a result of coupling-constant metamorphosis. The latter provides a convenient method of describing the null geodesics in Kerr metric.

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arXiv - MATH - Mathematical Physics

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