https://doi.org/10.1140/epjp/s13360-022-02408-0
Regular Article
Deviation of non-radial geodesics in a static spherically symmetric spacetime
1
Baltic State Technical University «VOENMEH» named after D.F. Ustinov, 1-Ya Krasnoarmeyskaya Ulitsa, 1, 190005, St Petersburg, Russia
2
Petersburg Nuclear Physics Institute of National Research Centre “Kurchatov Institute”, 188300, Gatchina, Russia
Received:
17
September
2021
Accepted:
20
January
2022
Published online:
29
January
2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
