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arxiv: gr-qc/9908039 · v2 · submitted 1999-08-11 · 🌀 gr-qc · hep-th

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Chaotic Scattering and Capture of Strings by Black Hole

Andrei V. Frolov , Arne L. Larsen
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classification 🌀 gr-qc hep-th
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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