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Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field

Khusan Alibekov1,*, Hocheol Lee2,†, Pakhlavon Yovkochev3,10,‡, Bobomurat Ahmedov4,5,8,§, Bum-Hoon Lee6,7,9,∥, Ahmadjon Abdujabbarov4,5,8,¶, and Wonwoo Lee6,**

  • *Contact author: K.A.U.Alibekov@soton.ac.uk
  • †Contact author: insaying@dongguk.edu
  • ‡Contact author: yovqochevp@gmail.com
  • §Contact author: ahmedov@astrin.uz
  • ∥Contact author: bhl@sogang.ac.kr
  • Contact author: ahmadjon@astrin.uz
  • **Contact author: warrior@sogang.ac.kr
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Phys. Rev. D 114, 084056 – Published 20 October, 2026

DOI: https://doi.org/10.1103/195k-3k3m

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.

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Information

Phys. Rev. D 114, 084056– Published 20 October, 2026
  • Received 5 July 2026
  • Accepted 21 September 2026
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