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

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 , 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 is not considered in the investigation.