Is AdS stable?

DOI10.1007/s10714-014-1724-0zbMath1291.83003arXiv1312.5544OpenAlexW2030555596WikidataQ59394747 ScholiaQ59394747MaRDI QIDQ2247773

Piotr Bizoń

Publication date: 30 June 2014

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5544

zbMATH Keywords

instabilityanti-de Sitter spaceweak turbulence

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (18)

Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\) ⋮ Dynamics of a nonminimally coupled scalar field in asymptotically AdS ₄ spacetime ⋮ AdS (in)stability: lessons from the scalar field ⋮ AdS perturbations, isometries, selection rules and the Higgs oscillator ⋮ Kaluza–Klein reduction and Bergmann–Wagoner bi-scalar general action of scalar–tensor gravity ⋮ Position space analysis of the AdS (in)stability problem ⋮ Universal turbulence on branes in holography ⋮ A global definition of quasinormal modes for Kerr–AdS black holes ⋮ Existence of quasinormal modes for Kerr-AdS black holes ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Hidden symmetries of the Higgs oscillator and the conformal algebra ⋮ On \(\mathrm{AdS}_7\) stability ⋮ On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder ⋮ Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case ⋮ Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes ⋮ Theoretical cosmology ⋮ Mathematical general relativity ⋮ Hawking evaporation time scale of topological black holes in anti-de Sitter spacetime

Cites Work

• Unnamed Item
• Self-gravitating Klein-Gordon fields in asymptotically anti-de-Sitter spacetimes
• Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes
• Tracing complex singularities with spectral methods
• Stability in gauged extended supergravity
• The problem of a self-gravitating scalar field
• Proof of the positive mass theorem. II
• The large \(N\) limit of superconformal field theories and supergravity
• Asymptotically anti-de Sitter spaces
• A new proof of the positive energy theorem.
• A mathematical theory of gravitational collapse
• Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
• Towards the classification of static vacuum spacetimes with negative cosmological constant
• Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime
• On the uniqueness and global dynamics of AdS spacetimes
• Black hole in three-dimensional spacetime
• Quantum fields in curved space-times
• Gravitational turbulent instability of anti-de Sitter space
• On the nonlinear stability of asymptotically anti-de Sitter solutions
• On the AdS stability problem
• Critical phenomena in gravitational collapse

This page was built for publication: Is AdS stable?