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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 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 show that the so-called chaos bound, proposed by Maldacena, Shenker, and Stanford, can be violated in $f(T)$ teleparallel gravity. In particular, it is possible to select a new gravitational Lyapunov parameter, controlling chaotization…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Andrea Addazi , Salvatore Capozziello

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 work, we have extensively investigated the dynamics of circular geodesic (chargeless massive particle) followed by the investigation of the pulsating classical string in the p-brane background. This study is a continuation of our…

High Energy Physics - Theory · Physics 2025-02-12 Pinaki Dutta , Kamal L. Panigrahi , Balbeer Singh

Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here we examine what amount of chaoticity is…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

In this paper, we make a systematical and in-depth study on the chaotic dynamics of the string around the conformal black hole. Depending on the characteristic parameter of the conformal black hole and the initial position of the string,…

High Energy Physics - Theory · Physics 2022-05-03 Da-Zhu Ma , Fang Xia , Dan Zhang , Guoyang Fu , Jian-Pin Wu

Acoustic black holes, analogs of gravitational black holes created in fluid systems, have recently been embedded within Schwarzschild spacetime using the Gross-Pitaevskii theory, leading to configurations with both event and acoustic…

High Energy Physics - Theory · Physics 2025-05-19 Balbeer Singh , Nibedita Padhi , Rashmi R. Nayak

We study the instability of the charged Gauss-Bonnet de Sitter black holes under gravito-electromagnetic perturbations. We adopt two criteria to search for an instability of the scalar type perturbations, including the local instability…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Rong-Gen Cai , Li Li , Hao-Tian Sun

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel

Based on the scalar-tensor-vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified…

General Relativity and Quantum Cosmology · Physics 2022-06-10 Daqi Yang , Wenfu Cao , Naying Zhou , Hongxing Zhang , Wenfang Liu , Xin Wu

We investigate chaotic dynamics in extremal black holes by analyzing the motion of massless particles in both Reissner-Nordstr\"{o}m and Kerr geometries. Two complementary approaches (i) taking the extremal limit of non-extremal solutions…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Surojit Dalui , Chiranjeeb Singha , Krishnakanta Bhattacharya

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

Complete integrability of geodesic motion, the well known feature of the fields of isolated stationary black holes, can easily be "spoilt" by the presence of some additional source (even if highly symmetric). In previous papers, we used…

High Energy Astrophysical Phenomena · Physics 2019-05-21 L. Polcar , P. Suková , O. Semerák

We study the static equilibrium of a charged massive particle around a charged black hole, balanced by the Lorentz force. For a given black hole, the equilibrium surface is determined by the charge/mass ratio of the particle. By…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Qing-Qing Zhao , Yue-Zhou Li , H. Lu

Singularity theorems of general relativity utilize the notion of causal geodesic incompleteness as a criterion of the presence of a spacetime singularity. The incompleteness of a causal curve implies the end and/or beginning of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich

According to general relativity, an isolated black hole in vacuum shall be described by the Kerr metric, whose geodesic equations are integrable. The violation of integrability leads to chaos for particles moving around the black hole. This…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Che-Yu Chen , Hsu-Wen Chiang , Avani Patel

We revisit our earlier work and investigate the bound state perturbations in the interior of the Schwarzschild black hole. The bound sates are defined as the perturbations in the interior of the black hole with an imaginary spectrum which…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Hassan Firouzjahi

The violation of Lorentz invariance (LI) in gravitational theories, which allows superluminal propagations, dramatically alters the causal structure of the spacetime and modifies the notion of black holes (BHs). Instead of metric horizons,…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Chao Zhang , Anzhong Wang , Tao Zhu

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
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