Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field
Abstract
We present an exact solution to the Einstein-Maxwell equations that describes a static black hole coexisting with anisotropic matter immersed in an external magnetic field, obtained via the Harrison transformation. Our findings reveal that an increase in the anisotropic matter parameter systematically suppresses the local chaotic behavior, as indicated by a reduction in the Lyapunov exponent. Conversely, variations in the external magnetic field lead to qualitative changes in global chaotic behavior. This is analyzed through Poincaré sections, which demonstrate transitions between regular and chaotic trajectories resulting from the nonlinear gravitational-magnetic interactions. These factors play distinct yet complementary roles in shaping chaotic particle dynamics around black holes. This study would offer a new theoretical framework for exploring nonintegrable particle motion within magnetized black hole spacetimes.
Versions
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BibTeX
@misc{alibekov2026chaotic,
title = {{Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field}},
author = {Khusan Alibekov and Hocheol Lee and Pakhlavon Yovkochev and Bobomurat J. Ahmedov and Bum-Hoon Lee and Ahmadjon Abdujabbarov and Wonwoo Lee},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.01910},
eprint = {2607.01910},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.01910},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field
AU - Khusan Alibekov
AU - Hocheol Lee
AU - Pakhlavon Yovkochev
AU - Bobomurat J. Ahmedov
AU - Bum-Hoon Lee
AU - Ahmadjon Abdujabbarov
AU - Wonwoo Lee
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2607.01910
UR - https://arxiv.org/abs/2607.01910
AB - We present an exact solution to the Einstein-Maxwell equations that describes a static black hole coexisting with anisotropic matter immersed in an external magnetic field, obtained via the Harrison transformation. Our findings reveal that an increase in the anisotropic matter parameter systematically suppresses the local chaotic behavior, as indicated by a reduction in the Lyapunov exponent. Conversely, variations in the external magnetic field lead to qualitative changes in global chaotic behavior. This is analyzed through Poincaré sections, which demonstrate transitions between regular and chaotic trajectories resulting from the nonlinear gravitational-magnetic interactions. These factors play distinct yet complementary roles in shaping chaotic particle dynamics around black holes. This study would offer a new theoretical framework for exploring nonintegrable particle motion within magnetized black hole spacetimes.
ER -