A proof of the instability of AdS for the Einstein-null dust system with an inner mirror
From MaRDI portal
Publication:2210886
DOI10.2140/apde.2020.13.1671zbMath1452.83009arXiv1704.08681OpenAlexW3100061844MaRDI QIDQ2210886
Publication date: 9 November 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.08681
Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Vlasov equations (35Q83)
Related Items (24)
Dynamics of a nonminimally coupled scalar field in asymptotically AdS 4 spacetime ⋮ Hidden spectral symmetries and mode stability of subextremal Kerr(-de Sitter) black holes ⋮ Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation ⋮ Future stability of the FLRW spacetime for a large class of perfect fluids ⋮ Slow decay of waves in gravitational solitons ⋮ Uniform boundedness and continuity at the Cauchy horizon for linear waves on Reissner-Nordström-AdS black holes ⋮ On ``hard stars in general relativity ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ A nonrelativistic limit for AdS perturbations ⋮ High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry ⋮ On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder ⋮ Time-periodicities in holographic CFTs ⋮ Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime ⋮ Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes ⋮ Blowup of the local energy of linear waves at the Reissner–Nordström–AdS Cauchy horizon ⋮ Mathematical general relativity ⋮ Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\) ⋮ Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge ⋮ Asymptotic properties of linear field equations in anti-De Sitter space ⋮ Rough sound waves in \(3D\) compressible Euler flow with vorticity ⋮ Q-balls meet fuzzballs: non-BPS microstate geometries ⋮ Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes
Cites Work
- Renormalization group, secular term resummation and AdS (in)stability
- Self-gravitating Klein-Gordon fields in asymptotically anti-de-Sitter spacetimes
- Stability and decay rates for the five-dimensional Schwarzschild metric under biaxial perturbations
- Quasimodes and a lower bound on the uniform energy decay rate for Kerr-AdS spacetimes
- Gauge theory correlators from non-critical string theory
- On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
- The large \(N\) limit of superconformal field theories and supergravity
- Anti de Sitter space and holography
- The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system
- Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
- Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system
- Asymptotic properties of linear field equations in anti-De Sitter space
- Large \(N\) field theories, string theory and gravity
- Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
- Position space analysis of the AdS (in)stability problem
- Strong Cosmic Censorship for Surface-Symmetric Cosmological Spacetimes with Collisionless Matter
- Decay Properties of Klein-Gordon Fields on Kerr-AdS Spacetimes
- The Einstein–Klein–Gordon–AdS system for general boundary conditions
- AdS nonlinear instability: moving beyond spherical symmetry
- The formation of black holes and singularities in spherically symmetric gravitational collapse
- On the uniqueness and global dynamics of AdS spacetimes
- Lectures on holographic methods for condensed matter physics
- Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
- Gravitational turbulent instability of anti-de Sitter space
- On the nonlinear stability of asymptotically anti-de Sitter solutions
- On the global initial value problem and the issue of singularities
- On the AdS stability problem
- The Large Scale Structure of Space-Time
- The Einstein-Vlasov system/kinetic theory
This page was built for publication: A proof of the instability of AdS for the Einstein-null dust system with an inner mirror
