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Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields

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arxiv 2301.12198 v2 pith:KHJFWN4E submitted 2023-01-28 gr-qc hep-th

Soyeon Jeong , Bum-Hoon Lee , Hocheol Lee , Wonwoo Lee This is my paper · ORCID
classification gr-qchep-th
keywords boundchaoshomoclinicanisotropicblackholematterparticle
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We study the homoclinic orbit and the violation of chaos bound, which are obtained by particle motions around a black hole that coexist with anisotropic matter fields. The homoclinic one is associated with an unstable local maximum of the effective potential. By perturbing a particle located slightly away from the homoclinic one, we numerically compute Lyapunov exponents indicating the sensitivity of the initial value. Our results demonstrate that the violation of the chaos bound increases with higher angular momentum, and the anisotropic matter gives rise to violating the chaos bound further, even in the case of the nonextremal black hole. We utilize the Hamiltonian-Jacobi formalism to explicitly illustrate how the geodesic motion of a particle can be integrable in the procedure of obtaining our findings.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chaotic particle dynamics near a traversable wormhole throat

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Confined test particles near a wormhole throat show high-energy chaos coexisting with surviving KAM tori, in contrast to horizon-driven chaos in black holes.

  2. Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos

    gr-qc 2025-11 conditional novelty 5.0 of 10

    A Schwarzschild black hole embedded in a Dehnen dark-matter halo admits homoclinic orbits, and raising halo density, scale radius, or particle energy drives near-horizon motion from regular to chaotic while respecting...

  3. Rotating and non-linear magnetic-charged black hole with an anisotropic matter field

    gr-qc 2025-01 conditional novelty 4.0 of 10

    A rotating black hole family with a non-linear magnetic charge and an anisotropic matter field is presented, and its horizons, thermodynamics, and Penrose efficiency are computed.

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