Chaos and Rotating Black Holes with Halos

TL;DR

This paper investigates chaos in particle orbits around a slowly rotating black hole with a dipolar halo, revealing that particles with opposite angular momentum to the black hole exhibit larger chaotic regions.

Contribution

It introduces a novel effect showing how particle angular momentum direction relative to black hole rotation influences chaos in phase space.

Findings

Particles with opposite angular momentum have larger chaotic regions.

Chaos depends on the relative direction of particle angular momentum and black hole rotation.

Abstract

The occurrence of chaos for test particles moving around a slowly rotating black hole with a dipolar halo is studied using Poincar\'e sections. We find a novel effect, particles with angular momentum opposite to the black hole rotation have larger chaotic regions in phase space than particles initially moving in the same direction.