https://doi.org/10.1140/epjc/s10052-025-15002-2
Regular Article - Theoretical Physics
Chaotic motion of particles around a dyonic Kerr–Newman black hole immersed in the Melvin-swirling universe
1
Department of Physics, Institute of Interdisciplinary Studies, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Hunan Research Center of the Basic Discipline for Quantum Effects and Quantum Technologies, Hunan Normal University, 410081, Changsha, Hunan, People’s Republic of China
2
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, People’s Republic of China
Received:
3
August
2025
Accepted:
24
October
2025
Published online:
4
November
2025
We employ the Poincaré section, fast Lyapunov indicator, recurrence analysis, bifurcation diagram and basins of attraction to investigate the dynamical behaviors of the motion of particles around a new dyonic Kerr–Newman black hole immersed in the Melvin-swirling universe presented in (Di Pinto et al. in J High Energy Phys 06:150, 2025). We note that the swirling parameter j and magnetic field strength B make the equations of motion for particles nonseparable, and confirm the presence of chaotic behavior in the motion in this dyonic Kerr–Newman–Melvin-swirling spacetime and its sub-cases by removing the conical singularities and removing both the conical singularities and the Dirac strings. We observe that both the number of chaotic orbits and the chaotic region increase with the increase of the parameters j and B, but decrease as the electric charge Q, magnetic charge H or spin parameter a increases. Moreover, we find that the presence of j changes the ranges of B, Q, H and a where the chaotic motion appears for particles. The swirling parameter together with the magnetic field strength, electric charge, magnetic charge and spin parameter yields richer physics in the motion of particles for the spacetime of a dyonic Kerr–Newman black hole immersed in the Melvin-swirling universe.
© The Author(s) 2025
corrected publication 2025
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