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arXiv · 2204.13200

Deviation of nonradial geodesics in a static spherically symmetric space-time

V. P. Vandeev·A. N. Semenova
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Abstract

The article generalizes the description of tidal forces to the case of geodesics with non-zero 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.

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V. P. Vandeev, A. N. Semenova. 2022-04-27. Deviation of nonradial geodesics in a static spherically symmetric space-time. https://doi.org/10.1140/epjp%2Fs13360-022-02408-0

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