AdS (in)stability: an analytic approach

DOI10.1002/prop.201500067zbMath1339.83027arXiv1510.07836OpenAlexW1845424750MaRDI QIDQ2815155

Ben Craps, Oleg Evnin

Publication date: 27 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07836

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (14)

Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\) ⋮ Black hole formation in AdS Einstein-Gauss-Bonnet gravity ⋮ AdS perturbations, isometries, selection rules and the Higgs oscillator ⋮ Detailed ultraviolet asymptotics for AdS scalar field perturbations ⋮ Breathing modes, quartic nonlinearities and effective resonant systems ⋮ Solvable cubic resonant systems ⋮ Hidden symmetries of the Higgs oscillator and the conformal algebra ⋮ Maximally rotating waves in AdS and on spheres ⋮ A nonrelativistic limit for AdS perturbations ⋮ Time-periodicities in holographic CFTs ⋮ Quantum resonant systems, integrable and chaotic ⋮ AdS instability: resonant system for gravitational perturbations of \(\mathrm{AdS}_5\) in the cohomogeneity-two biaxial Bianchi IX ansatz ⋮ Nonlinear stability of Minkowski spacetime in nonlocal gravity ⋮ Complex plane representations and stationary states in cubic and quintic resonant systems

Cites Work

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• Renormalization group, secular term resummation and AdS (in)stability
• AdS (in)stability: lessons from the scalar field
• Time-periodic solutions of massive scalar fields in dynamical AdS background: perturbative constructions
• Tracing complex singularities with spectral methods
• Collapse and revival in holographic quenches
• Position space analysis of the AdS (in)stability problem
• Ultraviolet asymptotics and singular dynamics of AdS perturbations
• Ultraviolet asymptotics for quasiperiodic \(\mathrm{AdS}_{4}\) perturbations
• Comments on black holes in string theory
• Gravitational turbulent instability of anti-de Sitter space
• On the nonlinear stability of asymptotically anti-de Sitter solutions

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