Chaotic motion of scalar particle coupling to Chern-Simons invariant in the stationary axisymmetric Einstein-Maxwell dilaton black hole spacetime

TL;DR

This study explores how a scalar particle coupled to the Chern-Simons invariant exhibits chaotic motion in a rotating Einstein-Maxwell-Dilaton-Axion black hole spacetime, revealing complex dynamics influenced by multiple parameters.

Contribution

It introduces analysis of scalar particle dynamics coupled to the Chern-Simons invariant in EMDA black holes, highlighting the effects of dilation, spin, and coupling parameters on chaos.

Findings

Dilation parameter increases the complexity of the Chern-Simons invariant.

Coupling and spin parameters influence the chaos range.

Dilation parameter affects the strength of chaotic orbits.

Abstract

We investigate the motion of a test scalar particle coupling to the Chern-Simons (CS) invariant in the background of a stationary axisymmetric black hole in the Einstein-Maxwell-Dilaton-Axion (EMDA) gravity. Comparing with the case of a Kerr black hole, we observe that the presence of the dilation parameter makes the CS invariant more complex, and changes the range of the coupling parameter and the spin parameter where the chaotic motion appears for the scalar particle. Moreover, we find that the coupling parameter together with the spin parameter also affects the range of the dilation parameter where the chaos occurs. We also probe the effects of the dilation parameter on the chaotic strength of the chaotic orbits for the coupled particle. Our results indicate that the coupling between the CS invariant and the scalar particle yields the richer dynamical behavior of the particle in the rotating EMDA black hole spacetime.