Is AdS stable?

Abstract

It has recently been conjectured that the Anti-de Sitter space is unstable under arbitrarily small perturbations. This article (based on my plenary talk of the same title at the conference GR20 in Warsaw) briefly reviews numerical and analytical evidence supporting this conjecture, putting emphasis on weak turbulence as a driving mechanism of instability.

invited review for GRG (based on my plenary lecture at GR20)

References in corpus (3)

• Instability of Flat Space Enclosed in a Cavity
• On the uniqueness and global dynamics of AdS spacetimes
• On the AdS stability problem

Cited by in corpus (31)

• What drives AdS unstable?
• A Hidden Symmetry of AdS Resonances
• On AdS${}_7$ stability
• Position space analysis of the AdS (in)stability problem
• AdS perturbations, isometries, selection rules and the Higgs oscillator
• AdS (In)stability: Lessons From The Scalar Field
• Collapse and Nonlinear Instability of AdS with Angular Momenta
• Gravitational geons in asymptotically anti-de Sitter spacetimes
• Conformal flow on $S^3$ and weak field integrability in AdS${}_4$
• Self-gravitating scalar breathers with negative cosmological constant
• Conditionally Extended Validity of Perturbation Theory: Persistence of AdS Stability Islands
• The bizarre anti-de Sitter spacetime
• Anti-de Sitter geon families
• A Stochasticity Threshold in Holography and and the Instability of AdS
• Hawking Evaporation Time Scale of Topological Black Holes in Anti-de Sitter Spacetime
• Mathematical General Relativity
• Coherent Cascade Conjecture for Collapsing Solutions in Global AdS
• Hidden symmetries of the Higgs oscillator and the conformal algebra
• Open problems in mathematical physics
• Existence of quasinormal modes for Kerr-AdS black holes
• Kaluza-Klein reduction and Bergmann-Wagoner bi-scalar general action of scalar-tensor gravity
• Spherically symmetric Anti-de Sitter-like Einstein-Yang-Mills spacetimes
• On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder
• Gravitational systems in asymptotically anti-de Sitter space-times
• Complex structure of time-periodic solutions decoded in Poincaré-Lindstedt series: the cubic conformal wave equation on ${\mathbb{S}}^3$
• Gravitational Perturbations in a cavity: Nonlinearities
• Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case
• Instability of nonlinear scalar field on strongly charged asymptotically AdS black hole background
• Universal turbulence on branes in holography
• Dynamics of a nonminimally coupled scalar field in asymptotically $Ad{S}_4$ spacetime
• Compactifications of String/M-Theory and the Swampland: A Study of the AdS${}_{\text{4}}$ Mass Spectrum of Eleven-Dimensional Supergravity on the Squashed Seven-Sphere