Chaotic scattering around black holes

Abstract

It is shown that the scattering of a charged test particle by a system of four extreme Reissner-Nordtröm black holes is chaotic in some cases. The fractal structure of the scattering angle and time delay functions is another manifestation of the existence of a nonattracting chaotic set: fractal basin boundaries were previously known.

REVTeX, 11 pages, 7 Postscript figures. References to recent (published and unpublished) works by other authors have been added. Results and figures remain unchanged

References in corpus (3)

• Fractal basins and chaotic trajectories in multi-black hole space-times
• Chaos around a Hénon-Heiles-inspired exact perturbation of a black hole
• Geometry of chaos in the two-center problem in General Relativity

Cited by in corpus (13)

• Chaotic motion of particles in the accelerating and rotating black holes spacetime
• Free motion around black holes with discs or rings: between integrability and chaos - II
• Free motion around black holes with discs or rings: between integrability and chaos - I
• Chaos in the motion of a test scalar particle coupling to Einstein tensor in Schwarzschild-Melvin black hole spacetime
• Chaos from the ring string in Gauss-Bonnet black hole in $Ad{S}_5$ space
• Classifying orbits in the restricted three-body problem
• Chaotic motion in multi-black hole spacetimes and holographic screens
• Fractal basins of escape and the formation of spiral arms in a galactic potential with a bar
• Chaotic dynamics of string around charged black brane with hyperscaling violation
• Chaotic motion of scalar particle coupling to Chern-Simons invariant in Kerr black hole spacetime
• Thermal chaos of a charged dilaton-AdS black hole in the extended phase space
• Chaotic dynamics of string around the conformal black hole
• Escape dynamics and fractal basin boundaries in Seyfert galaxies