Addendum: Chaos around a H\'enon-Heiles-Inspired Exact Perturbation of a Black Hole

TL;DR

This paper demonstrates that adding quadrupolar components to a black hole plus halo model increases chaos, highlighting the significant role of chaos in relativistic core-halo systems.

Contribution

It reveals that quadrupolar perturbations induce chaos in a black hole plus halo model, extending previous findings and emphasizing chaos's importance in such relativistic systems.

Findings

Quadrupolar components induce chaos in the model.

Chaos is more prominent than previously detected.

Reinforces the role of chaos in relativistic core-halo models.

Abstract

We find that the model of a black hole plus an exterior halo of quadrupoles and octopoles recently proposed by us is more chaotic than previously detected. In fact, the quadrupolar component gives rise also to a chaotic behavior, found after further numerical search. This fact reinforces even more the role of chaos in relativistic core--halo models.