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Chaotic Scattering and Capture of Strings by Black Hole

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arxiv gr-qc/9908039 v2 pith:DOEKDN2B submitted 1999-08-11 gr-qc hep-th

Andrei V. Frolov , Arne L. Larsen This is my paper · ORCID
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keywords fractalscatteringblackcapturechaoticconsiderdifferentdimension
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We consider scattering and capture of circular cosmic strings by a Schwarzschild black hole. Although being a priori a very simple axially symmetric two-body problem, it shows all the features of chaotic scattering. In particular, it contains a fractal set of unstable periodic solutions; a so-called strange repellor. We study the different types of trajectories and obtain the fractal dimension of the basin-boundary separating the space of initial conditions according to the different asymptotic outcomes. We also consider the fractal dimension as a function of energy, and discuss the transition from order to chaos.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.

  2. Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Numerical chaos indicators applied to the Schwarzschild-Bertotti-Robinson-Bonnor-Melvin family show that chaos occurs without swirling and that electromagnetic field strengths and directions tightly restrict bound orbits.

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