Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes

TL;DR

This study explores how charge and angular momentum of particles around Einstein-Euler-Heisenberg AdS black holes affect chaos bounds, revealing conditions under which these bounds are violated and implications for black hole stability.

Contribution

It identifies specific parameter regimes where chaos bounds are violated near charged Einstein-Euler-Heisenberg AdS black holes, highlighting the influence of particle charge, angular momentum, and Euler-Heisenberg parameters.

Findings

Chaos bound violation depends on particle charge, angular momentum, and Euler-Heisenberg parameter.

Spatial regions of bound violation expand with decreasing charge or increasing Euler-Heisenberg parameter.

Violation occurs when particle charge is less than 1 and black hole charge is sufficiently large.

Abstract

In this paper, we investigate influences of the charge and angular momentum of a particle around a charged Einstein-Euler-Heisenberg AdS black hole on a Lyapunov exponent, and find spatial regions where the chaos bound is violated. Positions of circular orbits are gotten by fixing the charge and angular momentum of the particle, respectively. The positions gradually move away from the event horizon with the increase of the angular momentum when the charge is fixed and with the decrease of the charge when the angular momentum is fixed. For certain values of the charge, angular momentum and Euler-Heisenberg parameter, the spatial regions where the bound is violated are found. When the charge is fixed and the Euler-Heisenberg parameter is large, a small angular momentum causes the violation. Although the angular momentum is small, the corresponding spatial region is not small. An interesting discovery is that the bound is violated by the black hole when the particle's charge is less than 1 and $\Lambda =0$, but this requires the black hole's charge to be large enough. This violation may be related to the dynamical stability of the black hole. The backreaction of the particle on the background spacetime isn't considered in the investigation.