Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
DOI10.1088/1361-6382/ac1b46zbMath1479.83019arXiv2104.09797OpenAlexW3204140566WikidataQ114096969 ScholiaQ114096969MaRDI QIDQ5164324
Publication date: 11 November 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09797
multiscale analysisweak turbulencegravitational dynamicsintegrable motionquantum chaos theoryresonant bounded domainssymmetry-based selection rules
Quantum chaos (81Q50) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbation theories for operators and differential equations in quantum theory (81Q15) Exact solutions to problems in general relativity and gravitational theory (83C15) Resonance in context of PDEs (35B34) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Resonance phenomena for ordinary differential equations involving randomness (34F15)
Related Items (4)
Cites Work
- Renormalization group, secular term resummation and AdS (in)stability
- Self-gravitating Klein-Gordon fields in asymptotically anti-de-Sitter spacetimes
- Wave turbulence.
- AdS instability: resonant system for gravitational perturbations of \(\mathrm{AdS}_5\) in the cohomogeneity-two biaxial Bianchi IX ansatz
- On the continuous resonant equation for NLS. I: Deterministic analysis.
- Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- AdS perturbations, isometries, selection rules and the Higgs oscillator
- Detailed ultraviolet asymptotics for AdS scalar field perturbations
- Floquet scalar dynamics in global AdS
- Maximally rotating waves in AdS and on spheres
- On the cubic lowest Landau level equation
- A nonrelativistic limit for AdS perturbations
- Tensor eigenvalues and their applications
- Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation
- Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
- Breathing modes, quartic nonlinearities and effective resonant systems
- A proof of the instability of AdS for the Einstein-null dust system with an inner mirror
- Time-periodic quantum states of weakly interacting bosons in a harmonic trap
- Time-periodicities in holographic CFTs
- Vortices in \((2+1)\)d conformal fluids
- Stationary states of the cubic conformal flow on \(\mathbb{S}^3\)
- Asymptotic properties of linear field equations in anti-De Sitter space
- Melonic turbulence
- Gravitational wave driving of a gapped holographic system
- Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\)
- Solvable cubic resonant systems
- Maximizers for the Strichartz inequality
- Large-time blowup for a perturbation of the cubic Szegő equation
- 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
- Scattering equations in AdS: scalar correlators in arbitrary dimensions
- Explicit vector spherical harmonics on the 3-sphere
- On the high frequency limit of the LLL equation
- Scattering Amplitudes in Gauge Theory and Gravity
- Hidden symmetries of the Higgs oscillator and the conformal algebra
- AdS nonlinear instability: breaking spherical and axial symmetries
- Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime
- Stability of a Schwarzschild Singularity
- Black resonators and geons in AdS 5
- A Sharp Inequality for the Strichartz Norm
- On the uniqueness and global dynamics of AdS spacetimes
- On sharp Strichartz inequalities in low dimensions
- Dynamical symmetries in a spherical geometry. I
- Dynamical symmetries in a spherical geometry. II
- Gravitational turbulent instability of anti-de Sitter space
- Master Equations for Perturbations of Generalised Static Black Holes with Charge in Higher Dimensions
- Quantum Theory for Mathematicians
- Minimal model holography
- Quasinormal modes: the characteristic `sound' of black holes and neutron stars
- On the AdS stability problem
- On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder
- Hermitian Tensor Decompositions
- AdS Robin solitons and their stability
- Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime
- Quantum resonant systems, integrable and chaotic
- Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping
- The AdS/CFT correspondence
- Gravitational geons in asymptotically anti-de Sitter spacetimes
- An explicit formula for the cubic Szegő equation
- The Fermi–Pasta–Ulam problem: Fifty years of progress
- Complex plane representations and stationary states in cubic and quintic resonant systems
- A restriction theorem for the Fourier transform
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