Chaos bounds or violation? Fate of charged AdS black holes
Shahid M. Jawad A. Zafar U. Shaymatov S. Rani S. Myrzakulov N.
June 2026Elsevier B.V.
Physics of the Dark Universe
2026#52
The study of chaos bounds offers significant insights regarding the thermalization process, quantum information flow, and the stability of the gravitational system. In this work, we examine the Lyapunov exponent and potential chaos bound violations in Yang-Mills AdS black holes, AdS black holes with massive gravity, and ModMax AdS black holes to uncover the association between quantum information, thermalization, and gravitational stability. We explicitly compute the Lyapunov exponent using the Jacobian matrix method, which allows us to investigate the roles of angular momentum, electric charge, and the normalization constant in determining orbital equilibrium and its stability. Our analysis reveals that chaos-bound violations are highly spacetime dependent. In the case of ModMax AdS black holes, the chaos bound remains valid throughout the full parameter ranges, highlighting the stabilizing influence of nonlinear electrodynamics. On the other hand, in AdS black holes arising in massive gravity and Yang-Mills theories, chaos-bound violation occurs primarily near the horizon within specific parameter domains, while at finite distances the bound remains satisfied. Additionally, our analysis shows a dual influence of angular momentum. These results demonstrate the model dependence of chaos bounds, with their preservation and violations serving as probes of the black holes’ microstructure and stability.
Chaos bounds , Charged AdS black holes
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Department of Mathematics, COMSATS University Islamabad Lahore-Campus, Lahore, 54000, Pakistan
Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan
Western Caspian University, Baku, AZ1001, Azerbaijan
Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematics
Faculty of Symbiotic Systems Science
Institute of Fundamental and Applied Research
University of Tashkent for Applied Sciences
Tashkent State Technical University
Western Caspian University
Center for Theoretical Physics
L. N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026