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

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arxiv 2309.12604 v1 pith:VLTTPJZX submitted 2023-09-22 gr-qc hep-th

Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing This is my paper · ORCID
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keywords parameterparticlecouplingblackchaoticholeinvariantscalar
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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.

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Cited by 2 Pith papers

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  2. Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime

    gr-qc 2024-12 conditional novelty 5.0 of 10

    Mutual information between two nearby particle trajectories distinguishes regular from chaotic orbits in Schwarzschild and Kerr spacetimes, matching the fast Lyapunov indicator.

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