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arXiv 2205.00166gr-qc
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Taub-NUT度规中对称轴上的测地偏差

Geodesic deviation on symmetry axis in Taub-NUT metric

V. P. Vandeev, A. N. Semenova

摘要:

广义相对论的一个重要方面是研究测地线的性质。描述测地线行为的有用工具是测地线偏差方程。它允许通过时空的曲率来描述引力物体的潮汐性质。本文主要研究轴对称的Taub-NUT度规。我们研究潮汐效应在这个度量使用测地偏差方程。径向测地线沿对称轴的时空被认为是。我们证明了在事件视界下,潮汐力的所有空间分量总是变号的。我们找到了所有测地偏差矢量分量的测地偏差方程的解决方案。它使我们能够量化的NUT电荷的Taub-NUT度规的潮汐性质的影响。我们发现的另一个重要特征是,在时空的所有点上,所有潮汐力分量的规律性行为。

英文摘要:

An important aspect of General Relativity is to study properties of geodesics. A useful tool for describing geodesic behavior is the geodesic deviation equation. It allows to describe the tidal properties of gravitating objects through the curvature of spacetime. This article focuses on the study of the axially symmetric Taub-NUT metric. We study tidal effects in this metric using the geodesic deviation equation. Radial geodesics along the symmetry axis of spacetime are considered. We show that all spatial components of tidal forces always change sign under the event horizon. We find a solution of the geodesic deviation equation for all geodesic deviation vector components. It allows us to quantify the effect of the NUT-charge on the tidal properties of Taub-NUT metric. And another important feature that we found is the regular behavior of all tidal force components at all points of spacetime.

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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