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The chaos bound in the near-horizon regions has been studied through the expansions of the metric functions on the horizon. In this paper, we investigate the chaos bound in the the near-horizon region and at a certain distance from the…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Chuanhong Gao , Deyou Chen , Chengye Yu , Peng Wang

In this paper, we investigate influences of the charge and angular momentum of a particle around a charged Einstein-Euler-Heisenberg AdS black hole on a Lyapunov exponent, and find spatial regions where the chaos bound is violated.…

High Energy Physics - Theory · Physics 2022-12-16 Deyou Chen , Chuanhong Gao

In this paper, we investigated the chaos of the phantom AdS black hole in near-horizon regions and at a certain distance from the black hole, where the Lyapunov exponent was calculated by the Jacobian determinant. We found that the angular…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Yue Song , Rui Yin , Yiqian He , Benrong Mu

The influence of the angular momentum of the particle on the Lyapunov exponent has been studied. In this paper, we investigate influences of the charge and angular momentum of a particle around non-extremal and extremal Reissner-Nordstr\"om…

High Energy Physics - Theory · Physics 2023-05-17 Zeqiang Wang , Deyou Chen

Positions of a charged particle's equilibrium orbits and spatial regions where the chaos bound is violated are found through circular motions of the particle around charged Taub-NUT black holes. Lyapunov exponent is gotten by calculating…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Yucheng He , Zeqiang Wang , Deyou Chen

We compute the Lyapunov exponents for test particles orbiting in unstable circular trajectories around D-dimensional Reissner-Nordstr\"om (RN) black holes, scrutinizing instances of the chaos bound violation. Notably, we discover that an…

High Energy Physics - Theory · Physics 2024-08-13 Yu-Qi Lei , Xian-Hui Ge , Surojit Dalui

We investigate the circular motion and chaos bound of a charged particle near 4D charged AdS black holes in Einstein-Gauss-Bonnet gravity theory. By means of the Jacobian matrix, the analytical form of the Lyapunov exponent of the charged…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Jiayu Xie , Jie Wang , Bing Tang

We investigate chaos in the dynamics of massless particles near the horizon of static spherically symmetric black holes in two well-motivated models of $f(R)$ gravity. In both these models, we probe chaos in the particle trajectories (under…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Surajit Das , Surojit Dalui , Rickmoy Samanta

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

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

We study the circular motion of charged particles near a charged black hole. The general form of the Lyapunov exponent of charged particles is obtained by using the Jacobian matrix. The results show that the chaos bound can be saturated by…

High Energy Physics - Theory · Physics 2022-04-20 Yu-Qi Lei , Xian-Hui Ge

Motion of a particle near a horizon of a spherically symmetric black hole is shown to possess a universal Lyapunov exponent of a chaos provided by its surface gravity. To probe the horizon, we introduce electromagnetic or scalar force to…

High Energy Physics - Theory · Physics 2017-01-11 Koji Hashimoto , Norihiro Tanahashi

We investigate the chaos in the dynamics of a probe massless particle confined by the harmonic potential near the horizon of the dyonic $\rm{AdS_4}$-Reissner-Nordstr\"om black hole. The total energy of the particle, chemical potential and…

High Energy Physics - Theory · Physics 2026-02-02 Mu-Yang Wang , Si-Wen Li , Defu Hou , Dong Yan , Yan-Qing Zhao

Previous research showed that the chaos bound proposed in \cite{MSS} can be violated under specific conditions within the scalar fields surrounding black holes. In this paper, we explore motions of spinning particles orbiting a…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Chuang Yang , Deyou Chen , Yongtao Liu

In this paper, we investigate the influence of the angular momentum of a charged particle around non-extremal and extremal Einstein-Maxwell-Dilaton-Axion black holes on the Lyapunov exponent. The angular momentum's ranges and spatial…

High Energy Physics - Theory · Physics 2022-12-06 Chengye Yu , Deyou Chen , Chuanhong Gao

It is known that certain types of particle motion near black hole horizons are chaotic while it has been proposed the existence of a universal bound for their Lyapunov exponent. We discuss the relation between chaos and inaffinity in…

High Energy Physics - Theory · Physics 2022-02-09 Dimitrios Giataganas

We analyze the motion of a {\it massless} and {\it chargeless} particle very near to the event horizon. It reveals that the radial motion has exponential growing nature which indicates that there is a possibility of inducing chaos in the…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Surojit Dalui , Bibhas Ranjan Majhi , Pankaj Mishra

We investigate the role of the spin angular momentum of astrophysical black holes in controlling the special relativistic chaotic dynamics of test particles moving under the influence of a post-Newtonian pseudo-Kerr black hole potential,…

High Energy Astrophysical Phenomena · Physics 2017-03-29 Sankhasubhra Nag , Siddhartha Sinha , Deepika B. Ananda , Tapas K Das

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

We investigate the conjectured bound on the Lyapunov exponent for a charged particle with angular motion in the Kerr-Newman-AdS black hole. The Lyapunov exponent is calculated based on the effective Lagrangian. We show that the negative…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Bogeun Gwak , Naoto Kan , Bum-Hoon Lee , Hocheol Lee
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