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Tidal Dynamics in Kerr Spacetime

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arxiv gr-qc/0602071 v2 pith:6GLZNQBS submitted 2006-02-19 gr-qc astro-ph

C. Chicone , B. Mashhoon This is my paper · ORCID
classification gr-qcastro-ph
keywords kerrcirculardynamicsfreeorbitrelativespeedsqrt
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The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an autonomous form. Tidal dynamics beyond the critical speed c/sqrt(2) is studied. We show, in particular, that a free test particle vertically launched from the circular orbit parallel or antiparallel to the Kerr rotation axis is tidally accelerated if its initial relative speed exceeds c/sqrt(2). Possible applications of our results to high-energy astrophysics are briefly mentioned.

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Cited by 1 Pith paper

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  1. Geodesic deviation to all orders via a tangent bundle formalism

    gr-qc 2025-09 conditional novelty 7.0 of 10

    A tangent-bundle flow formalism yields an explicit all-orders formula for the Jacobi propagators in geodesic deviation, with the Lagrangian and equation of motion given explicitly up to tenth order.

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