AdS (in)stability: an analytic approach

Abstract

We briefly review the topic of AdS (in)stability, mainly focusing on a recently introduced analytic approach and its interplay with numerical results.

14 pages, based in part on an invited talk at the Leuven workshop on The String Theory Universe, September 7-11, 2015; v2: minor clarifications and references added

References in corpus (16)

• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Renormalization group, secular term resummation and AdS (in)stability
• Renormalization, averaging, conservation laws and AdS (in)stability
• Instability of Flat Space Enclosed in a Cavity
• Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime
• What drives AdS unstable?
• Stability of AdS in Einstein Gauss Bonnet Gravity
• 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
• On the nonlinear instability of confined geometries
• AdS (In)stability: Lessons From The Scalar Field
• Gravitational infall in the hard wall model
• Time-periodic solutions of massive scalar fields in AdS background: perturbative constructions
• Collapse of massive fields in anti-de Sitter spacetime

Cited by in corpus (26)

• Nonlinear stability in nonlocal gravity
• Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates
• AdS perturbations, isometries, selection rules and the Higgs oscillator
• Collapse and Nonlinear Instability of AdS with Angular Momenta
• Two infinite families of resonant solutions for the Gross-Pitaevskii equation
• Solvable cubic resonant systems
• Nonlinear stability of Minkowski spacetime in Nonlocal Gravity
• Gravitational turbulent instability of AdS${}_5$
• A nonrelativistic limit for AdS perturbations
• Anti-de Sitter geon families
• Maximally rotating waves in AdS and on spheres
• Quantum resonant systems, integrable and chaotic
• Klein-Gordonization: mapping superintegrable quantum mechanics to resonant spacetimes
• Two worlds collide: Interacting shells in AdS spacetime and chaos
• Complex plane representations and stationary states in cubic and quintic resonant systems
• Energy level splitting for weakly interacting bosons in a harmonic trap
• Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
• Energy returns in global AdS_4
• Hidden symmetries of the Higgs oscillator and the conformal algebra
• Turbulent cascades in a truncation of the cubic Szego equation and related systems
• Breathing modes, quartic nonlinearities and effective resonant systems
• Time-periodicities in holographic CFTs
• Spectroscopy instead of scattering: particle experimentation in AdS spacetime
• AdS instability: resonant system for gravitational perturbations of AdS${}_5$ in the cohomogeneity-two biaxial Bianchi IX ansatz
• Exact solutions for a coherent phenomenon of condensation in conservative Hamiltonian systems
• Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime