Deviation of non-radial geodesics in a static spherically symmetric spacetime

被引：4

作者：

Vandeev, V. P. ^{[1
]}

Semenova, A. N. ^{[2
]}

机构：

[1] Baltic State Tech Univ VOENMEH, 1 Ya Krasnoarmeyskaya Ulitsa 1, St Petersburg 190005, Russia

[2] Kurchatov Inst, Petersburg Nucl Phys Inst, Natl Res Ctr, Gatchina 188300, Russia

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2022年 / 137卷 / 02期

关键词：

FIELD; GRAVITATION; DYNAMICS;

D O I：

10.1140/epjp/s13360-022-02408-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The article generalizes the description of tidal forces to the case of geodesics with nonzero angular momentum in the metric of static spherically symmetric black holes. We show that the geodesic deviation equation can be diagonalized even with non-radial free motion of a test body in the gravitational field. We present expressions for the spatial components of the tidal force in a spherically symmetric metric. We also solve geodesic deviation equation in the Schwarzschild metric and demonstrate how the presence of angular momentum and its magnitude affect the solution.

引用

页数：11

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