Influence of the black hole spin on the chaotic particle dynamics within a dipolar halo

TL;DR

This study explores how black hole spin influences the chaotic behavior of particles in a dipolar halo, revealing an inverse relationship between spin and chaos degree using a Lyapunov-like measure.

Contribution

It introduces a novel analysis of black hole spin effects on relativistic chaos in particle dynamics within a dipolar halo using a Lyapunov-like exponent.

Findings

Black hole spin anti-correlates with chaos degree.

Chaotic dynamics are influenced by the spin in a predictable manner.

Dynamical systems principles explain the observed relationships.

Abstract

We investigate the role of the spin angular momentum of astrophysical black holes in controlling the special relativistic chaotic dynamics of test particles moving under the influence of a post-Newtonian pseudo-Kerr black hole potential, along with a perturbative potential created by a asymmetrically placed (dipolar) halo. Proposing a Lyapunov-like exponent to be the effective measure of the degree of chaos observed in the system under consideration, it has been found that black hole spin anti-correlates with the degree of chaos for the aforementioned dynamics. Our findings have been explained applying the general principles of dynamical systems analysis.