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

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Hauptverfasser: Cao, Deshui, Zhang, Lina, Chen, Songbai, Pan, Qiyuan, Jing, Jiliang
Format: Preprint
Veröffentlicht: 2024
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author Cao, Deshui
Zhang, Lina
Chen, Songbai
Pan, Qiyuan
Jing, Jiliang
author_facet Cao, Deshui
Zhang, Lina
Chen, Songbai
Pan, Qiyuan
Jing, Jiliang
contents 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 the swirling parameter and the spin parameter provides richer physics in the motion of particles.
format Preprint
id arxiv_https___arxiv_org_abs_2410_03214
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
Cao, Deshui
Zhang, Lina
Chen, Songbai
Pan, Qiyuan
Jing, Jiliang
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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 the swirling parameter and the spin parameter provides richer physics in the motion of particles.
title Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.03214