Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.16023 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908460435636224 |
|---|---|
| author | Pourhassan, Behnam |
| author_facet | Pourhassan, Behnam |
| contents | We present the first comprehensive investigation of the non-linear evolution of the Aretakis instability in extremal black $p$-branes. Building on recent insights into the linear behavior of perturbations in near-horizon AdS$_{p+2} \times S^{D-p-2}$ geometries, we explore the full non-linear regime using a combination of analytical scaling arguments and numerical simulations. We uncover a universal critical behavior governed by scaling exponents that depend only on the spacetime dimension $D$ and the brane worldvolume dimension $p$. Near the threshold of instability, the system exhibits power-law evolution toward dynamically generated extremal attractors, while supercritical perturbations lead to singular growth. Through the AdS/CFT correspondence, we compute entanglement entropy, correlation functions, spectral densities, and out-of-time-ordered correlators in the dual field theory, finding universal scaling across all observables. These results establish a deep connection between geometric instability in the bulk and quantum information dynamics on the boundary. The emergence of universal scaling and phase transitions in extremal geometries suggests that non-linear Aretakis dynamics may serve as a general framework for studying holographic criticality and late-time behavior in strongly coupled systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Linear Dynamics and Critical Phenomena in the Aretakis Instability of Extremal Black p-Branes Pourhassan, Behnam High Energy Physics - Theory We present the first comprehensive investigation of the non-linear evolution of the Aretakis instability in extremal black $p$-branes. Building on recent insights into the linear behavior of perturbations in near-horizon AdS$_{p+2} \times S^{D-p-2}$ geometries, we explore the full non-linear regime using a combination of analytical scaling arguments and numerical simulations. We uncover a universal critical behavior governed by scaling exponents that depend only on the spacetime dimension $D$ and the brane worldvolume dimension $p$. Near the threshold of instability, the system exhibits power-law evolution toward dynamically generated extremal attractors, while supercritical perturbations lead to singular growth. Through the AdS/CFT correspondence, we compute entanglement entropy, correlation functions, spectral densities, and out-of-time-ordered correlators in the dual field theory, finding universal scaling across all observables. These results establish a deep connection between geometric instability in the bulk and quantum information dynamics on the boundary. The emergence of universal scaling and phase transitions in extremal geometries suggests that non-linear Aretakis dynamics may serve as a general framework for studying holographic criticality and late-time behavior in strongly coupled systems. |
| title | Non-Linear Dynamics and Critical Phenomena in the Aretakis Instability of Extremal Black p-Branes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.16023 |