Chaotic scattering and capture of strings by black hole

Aug, 1999
9 pages
Published in:
  • Class.Quant.Grav. 16 (1999) 3717-3724
e-Print:

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Abstract: (arXiv)
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.
  • cosmic string
  • scattering: string
  • capture: string
  • black hole: Schwarzschild
  • chaos
  • fractal: energy dependence
  • numerical calculations