Chaotic Scattering and Capture of Strings by Black Hole

Details Chaotic Scattering and Capture of Strings by Black Hole Chaotic Scattering and Capture of Strings by Black Hole

1999-08-11

arxiv.org/abs/gr-qc/9908039v2

Class.Quant.Grav. 16 (1999) 3717-3724

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 3.1, 9 pages, 5 figures

Scientific paper

10.1088/0264-9381/16/11/316

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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