Deviation of nonradial geodesics in a static spherically symmetric space-time
arXiv:2204.13200 · doi:10.1140/epjp/s13360-022-02408-0
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.
arXiv comment15 pages, 5 figures
References in corpus (10)
- Quintessence and black holes
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
- Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
- Dynamics of Relativistic Flows
- Tidal Dynamics of Relativistic Flows Near Black Holes
- Tidal effects in Schwarzschild black hole in holographic massive gravity
- Tidal Forces in Kottler Spacetimes
- Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
- Relativistic Tidal Acceleration of Astrophysical Jets