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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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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author Deshui Cao
Lina Zhang
Songbai Chen
Qiyuan Pan
Jiliang Jing
author_facet Deshui Cao
Lina Zhang
Songbai Chen
Qiyuan Pan
Jiliang Jing
author_sort Deshui Cao
collection DOAJ
description 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.
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issn 1434-6052
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series European Physical Journal C: Particles and Fields
spelling doaj-art-a51b0952a5c844cd81a05b9f65a4ca1f2025-01-19T12:36:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111310.1140/epjc/s10052-025-13749-2Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universesDeshui Cao0Lina Zhang1Songbai Chen2Qiyuan Pan3Jiliang Jing4Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Institute of Interdisciplinary Studies, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Institute of Interdisciplinary Studies, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Institute of Interdisciplinary Studies, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Institute of Interdisciplinary Studies, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Institute of Interdisciplinary Studies, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-025-13749-2
spellingShingle Deshui Cao
Lina Zhang
Songbai Chen
Qiyuan Pan
Jiliang Jing
Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
European Physical Journal C: Particles and Fields
title Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
title_full Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
title_fullStr Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
title_full_unstemmed Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
title_short Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
title_sort chaotic motion of particles in the spacetime of a kerr black hole immersed in swirling universes
url https://doi.org/10.1140/epjc/s10052-025-13749-2
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