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29 March 2024
 
  » arxiv » gr-qc/9908039

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Chaotic Scattering and Capture of Strings by Black Hole
Andrei V. Frolov ; Arne L. Larsen ;
Date 11 Aug 1999
Journal Class.Quant.Grav. 16 (1999) 3717-3724
Subject gr-qc hep-th
AbstractWe 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.
Source arXiv, gr-qc/9908039
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