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

A.N. Semenova; V.P. Vandeev

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

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arxiv 2204.13200 v1 pith:J77WKQUA submitted 2022-04-27 gr-qc

V.P. Vandeev , A.N. Semenova This is my paper · ORCID

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keywords deviationmetricsphericallysymmetricangularequationgeodesicgeodesics

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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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Geodesic deviation in the $q$-metric
gr-qc 2025-01 conditional novelty 5.0 of 10

In the q-metric, tidal stretching and compression of radially falling test particles depend on the deformation parameter q and the polar angle θ, and differ from Schwarzschild near the singularity at r=2m.

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