Tidal Dynamics in Kerr Spacetime

Abstract

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.

15 pages, 3 figures; v2: slightly expanded version accepted for publication in CQG

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Cited by in corpus (24)

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• Geodesic deviation at higher orders via covariant bitensors
• Gravitomagnetic Jets
• Generalized Radar 4-Coordinates and Equal-Time Cauchy Surfaces for Arbitrary Accelerated Observers
• Tidal forces in dirty black hole spacetimes
• Perturbation Method for Classical Spinning Particle Motion: I. Kerr Space-Time
• Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets
• Orbital motions as gradiometers for post-Newtonian tidal effects
• Gravitomagnetic Accelerators
• Strains in General Relativity
• Dynamical orbital effects of General Relativity on the satellite-to-satellite range and range-rate in the GRACE mission: a sensitivity analysis
• Breakdown of Lorentz Invariance for Spin-1/2 Particle Motion in Curved Space-Time with Applications to Muon Decay
• Perturbation Method for Classical Spinning Particle Motion: II. Vaidya Space-Time
• Gravitational clock compass in General Relativity
• Relativistic tidal effects in non standard Kerr space-time
• Observer-dependent tidal indicators in the Kerr spacetime
• Generalized geodesic deviation in de Sitter spacetime
• Breakdown of Casimir Invariance in Curved Space-Time
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits
• Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation
• Geodesic deviation to all orders via a tangent bundle formalism