Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes

Abstract We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincaré section, fast Lyapunov exponent indicator, bifurcation diagram, and basins of attraction, we present the effects of the swirling parameter and the spin parameter o...

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Bibliographic Details
Main Authors: Deshui Cao, Lina Zhang, Songbai Chen, Qiyuan Pan, Jiliang Jing
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13749-2
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Summary:Abstract We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincaré section, fast Lyapunov exponent indicator, bifurcation diagram, and basins of attraction, we present the effects of the swirling parameter and the spin parameter on the dynamical behaviors of the motion of particles, and confirm the presence of chaos in the motion of particles in this background spacetime. We find that the swirling parameter can change the range of the spin parameter where the chaos occurs, and vice versa. Moreover, we observe clearly that, regardless of the spin parameter, there exist some self-similar fractal fine structures in the basins boundaries of attractors for the spacetime of a black hole immersed in swirling universes. The combination of the swirling parameter and the spin parameter provides richer physics in the motion of particles.
ISSN:1434-6052