Position space analysis of the AdS (in)stability problem
arXiv:1410.1880 · doi:10.1007/JHEP08(2015)077
Abstract
We investigate whether arbitrarily small perturbations in global AdS space are generically unstable and collapse into black holes on the time scale set by gravitational interactions. We argue that current evidence, combined with our analysis, strongly suggests that a set of nonzero measure in the space of initial conditions does not collapse on this time scale. We perform an analysis in position space to study this puzzle, and our formalism allows us to directly study the vanishing-amplitude limit. We show that gravitational self-interaction leads to tidal deformations which are equally likely to focus or defocus energy, and we sketch the phase diagram accordingly. We also clarify the connection between gravitational evolution in global AdS and holographic thermalization.
40 pages, 12 figures, updated to the version published on JHEP
References in corpus (10)
- Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
- Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
- Renormalization group, secular term resummation and AdS (in)stability
- Instability of Flat Space Enclosed in a Cavity
- What drives AdS unstable?
- Holographic Relaxation of Finite Size Isolated Quantum Systems
- On the nonlinear instability of confined geometries
- Comment on "Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox" by V. Balasubramanian et al
- A Stochasticity Threshold in Holography and and the Instability of AdS
- Nonlinear Collapse in the Semilinear Wave Equation in AdS
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- Numerical Methods for Finding Stationary Gravitational Solutions
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- Collapse and Revival in Holographic Quenches
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- AdS (in)stability: an analytic approach
- AdS (In)stability: Lessons From The Scalar Field
- Collapse and Nonlinear Instability of AdS with Angular Momenta
- Conditionally Extended Validity of Perturbation Theory: Persistence of AdS Stability Islands
- A proof of the instability of AdS for the Einstein--null dust system with an inner mirror
- Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
- AdS nonlinear instability: moving beyond spherical symmetry
- A nonrelativistic limit for AdS perturbations
- Stability of Charged Global AdS Spacetimes
- Classes of Stable Initial Data for Massless and Massive Scalars in Anti-de Sitter Spacetime
- Collapsing shells, critical phenomena and black hole formation
- Necessary conditions for an AdS-type instability
- Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
- Coherent Cascade Conjecture for Collapsing Solutions in Global AdS
- AdS nonlinear instability: breaking spherical and axial symmetries
- Energy returns in global AdS_4
- Universality of non-equilibrium dynamics of CFTs from holography
- On the stability of anti-de Sitter spacetime
- On turbulence for spacetimes with stable trapping
- Gauge dependence of the AdS instability problem
- Small black holes in global AdS spacetime
- New islands of stability with double-trace deformations
- Fast and Slow Coherent Cascades in Anti-de Sitter Spacetime
- Time-periodicities in holographic CFTs
- AdS instability: resonant system for gravitational perturbations of AdS in the cohomogeneity-two biaxial Bianchi IX ansatz
- Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime
- Gravitational systems in asymptotically anti-de Sitter space-times
- Spread of Entanglement in Non-Relativistic Theories
- Universal turbulence on branes in holography