Fast and Slow Coherent Cascades in Anti-de Sitter Spacetime

Abstract

We study the phase and amplitude dynamics of small perturbations in 3+1 dimensional Anti-de Sitter spacetime using the truncated resonant approximation, also known as the Two Time Framework (TTF). We analyse the phase spectrum for different classes of initial data and find that higher frequency modes turn on with coherently aligned phases. Combining numerical and analytical results, we conjecture that there is a class of initial conditions that collapse in infinite slow time and to which the well-studied case of the two-mode, equal energy initial data belongs. We additionally study perturbations that collapse in finite time, and find that the energy spectrum approaches a power law, with the energy per mode scaling approximately as the inverse first power of the frequency.

19 pages, multiple figures. v2: version published in CQG

References in corpus (11)

• Renormalization group, secular term resummation and AdS (in)stability
• Renormalization, averaging, conservation laws and AdS (in)stability
• Holographic Relaxation of Finite Size Isolated Quantum Systems
• A Hidden Symmetry of AdS Resonances
• Collapse and Revival in Holographic Quenches
• The missing top of AdS resonance structure
• AdS (In)stability: Lessons From The Scalar Field
• Comment on "AdS nonlinear instability: moving beyond spherical symmetry" [Class. Quantum Grav. 33 23LT01 (2016)]
• Gauge dependence of the AdS instability problem
• Oscillating Shells in Anti-de Sitter Space
• On the Stability of Anti-de Sitter Spacetime

Cited by in corpus (5)

• Gravitational geons in asymptotically anti-de Sitter spacetimes
• AdS nonlinear instability: breaking spherical and axial symmetries
• Examining Instabilities Due to Driven Scalars in AdS
• The instability of anti-de Sitter space-time
• Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime