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It is shown that the scattering of a charged test particle by a system of four extreme Reissner-Nordtr\"om black holes is chaotic in some cases. The fractal structure of the scattering angle and time delay functions is another manifestation…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Juan M. Aguirregabiria

The paper is devoted to a detailed study of the effects of quantum corrections on the chaotic behavior in the dynamics of a (massless) probe particle near the horizon of a generalized Schwarzschild black hole. Two possible origins inducing…

General Relativity and Quantum Cosmology · Physics 2022-04-08 Avijit Bera , Surojit Dalui , Subir Ghosh , Elias C. Vagenas

We study the properties of chaos in the motions of a spinning test particle in Schwarzschild spacetime. We characterize the chaos using the power spectrum of the time series of $z$ components of the particle's position. It is found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroko Koyama , Kenta Kiuchi , Tetsuro Konishi

A solution of the Einstein's equations that represents the superposition of a Schwarszchild black hole with both quadrupolar and octopolar terms describing a halo is exhibited. We show that this solution, in the Newtonian limit, is an…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Werner M. Vieira , Patricio S. Letelier

Our research aims to probe the anisotropic matter field around black holes using black hole perturbation theory. Black holes in the universe are usually surrounded by matter or fields, and it is important to study the perturbation and the…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Sagar J C , Karthik R , Katheek Hegde , K. M. Ajith , Shreyas Punacha , A. Naveena Kumara

We consider the motion of test particles around a $Reissner-Nordstr\"{o}m$ black hole immersed into a strong external magnetic field modifying the spacetime structure. When the particles are neutral, their dynamics are nonintegrable because…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Daqi Yang , Wenfang Liu , Xin Wu

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincar\'{e} section and recurrence analysis are employed to discern chaos from order. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany

The black hole horizon can induce chaotic motion of particles around the black hole. The original integrable motion of particles can transit to the chaotic motion when approaching black hole horizon. In this work, we consider the black hole…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Yu-Sen An , Wei-Hao Zhang

Chaos in the orbits of black hole pairs has by now been confirmed by several independent groups. While the chaotic behavior of binary black hole orbits is no longer argued, it remains difficult to quantify the importance of chaos to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Janna Levin

Chaotic motion near black holes has recently been examined through the lens of the Maldacena-Shenker-Stanford (MSS) chaos-bound, but reported violations remain contradictory. A significant source of ambiguity stems from treating the…

High Energy Physics - Theory · Physics 2026-04-13 Terkaa Victor Targema , Kazuharu Bamba , Riasat Ali , Usman Zafar

The onset of chaos in one-dimensional spinning particle models derived from pseudoclassical mechanical hamiltonians with a bosonic Duffing potential is examined. Using the Melnikov method, we indicate the presence of homoclinic…

Chaotic Dynamics · Physics 2009-11-07 H. T. Cho , J. -K. Kao

Dynamics of charged particles in the vicinity of a rotating black hole embedded in the external large-scale magnetic field is numerically investigated. In particular, we consider a non-axisymmetric model in which the asymptotically uniform…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Ondřej Kopáček , Vladimír Karas

In this paper, we investigate Lyapunov exponents of chaos for both massless and charged particles around a non-linear electrodynamics black hole, and explore their relationships with a phase transition and a chaos bound of this black hole.…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Chuanhong Gao , Chuang Yang , Tetvui Chong , Deyou Chen

We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincar\'{e} section, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction, we present the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Deshui Cao , Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing

In this paper, we study the motion of a massless, chargeless particle in Schwarzschild-de Sitter spacetime, revealing exponential radial growth and potential chaos in an integrable system. Poincar\'e sections show regular…

General Relativity and Quantum Cosmology · Physics 2025-02-19 Surojit Dalui , Soumya Bhattacharya , Chiranjeeb Singha

We study bound orbits of a free particle around a singly rotating black ring. We find there exists chaotic motion of a particle which is gravitationally bound to the black ring by using the Poincare map.

High Energy Physics - Theory · Physics 2011-02-15 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

We study the chaotic dynamics of spinless extended bodies in a wide class of spherically symmetric spacetimes, which encompasses black-hole scenarios in many modified theories of gravity. We show that a spherically symmetric pulsating ball…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Fernanda de F. Rodrigues , Ricardo A. Mosna , Ronaldo S. S. Vieira

We present firstly the equation of motion for a test scalar particle coupling to Einstein tensor in the Schwarzschild-Melvin black hole spacetime through the short-wave approximation. Through analysing Poincar\'{e} sections, the power…

General Relativity and Quantum Cosmology · Physics 2017-04-11 Mingzhi Wang , Songbai Chen , Jiliang Jing

We explore the chaotic behavior of particle motion in a black hole with quasi-topological electromagnetism. The chaos bound is found to be violated in the higher order expansion of the metric function and the electric potential near the…

High Energy Physics - Theory · Physics 2021-09-02 Yu-Qi Lei , Xian-Hui Ge , Cheng Ran

In this note, we have analyzed the circular motion of test particles around the Schwarzschild-MOG black hole. First, we have studied the shadow cast by the spherical symmetric black hole within MOG gravity. It has been shown that due to the…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Madina Boboqambarova , Bobur Turimov , Ahmadjon Abdujabbarov