Chaotic scattering around black holes

TL;DR

This paper demonstrates that the scattering of charged particles by four extreme Reissner-Nordström black holes exhibits chaotic behavior, evidenced by fractal structures in scattering angles and time delays, indicating complex underlying dynamics.

Contribution

It reveals chaotic scattering phenomena in a system of four extreme Reissner-Nordström black holes, highlighting fractal structures and nonattracting chaotic sets.

Findings

Chaotic scattering occurs in the system.

Fractal structures are present in scattering functions.

Fractal basin boundaries are identified.

Abstract

It is shown that the scattering of a charged test particle by a system of four extreme Reissner-Nordtr\"om 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.