A comment on AdS collapse of a scalar field in higher dimensions

Abstract

We point out that the weakly turbulent instability of anti-de Sitter space, recently found in arXiv:1104.3702 for four dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant, is present in all dimensions $d+1$ for $d\ge 3$, contrary to a claim made in arXiv:1106.2339.

3 pages, 2 figures

References in corpus (2)

• On weakly turbulent instability of anti-de Sitter space
• Rapid Thermalization in Field Theory from Gravitational Collapse

Cited by in corpus (70)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Higgs inflation
• Boson Stars in AdS
• Strong coupling isotropization of non-Abelian plasmas simplified
• On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions
• Time-periodic solutions in Einstein AdS - massless scalar field system
• Scalar Collapse in AdS
• Resonant dynamics and the instability of anti-de Sitter spacetime
• Instability of Flat Space Enclosed in a Cavity
• Globally regular instability of $Ad{S}_3$
• Higgs-Dilaton Cosmology: An inflation - dark energy connection and forecasts for future galaxy surveys
• What drives AdS unstable?
• Stability of AdS in Einstein Gauss Bonnet Gravity
• Is AdS stable?
• Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime
• On holographic thermalization and gravitational collapse of tachyonic scalar fields
• Collapse and Revival in Holographic Quenches
• Scalar field perturbations in asymptotically Lifshitz black holes
• Gravitational geons in asymptotically anti-de Sitter spacetimes
• Quantum quench in matrix models: Dynamical phase transitions, Selective equilibration and the Generalized Gibbs Ensemble
• Towards a violation of cosmic censorship
• A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse
• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• New Features of Gravitational Collapse in Anti-de Sitter Spacetimes
• Self-gravitating scalar breathers with negative cosmological constant
• Asymptotically anti-de Sitter Proca Stars
• Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
• Extra dimensions, black holes and fireballs at the LHC
• Scalar field critical collapse in 2+1 dimensions
• Gravitational turbulent instability of AdS${}_5$
• Moving Closer to the Collapse of a Massless Scalar Field in Spherically Symmetric Anti-de Sitter Spacetimes
• Charged scalar gravitational collapse in de Sitter spacetime
• Numerical Boson Stars with a Single Killing Vector I: the $D\ge 5$ Case
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
• Time-periodic solutions of massive scalar fields in AdS background: perturbative constructions
• Mathematical General Relativity
• Nonlinear Collapse in the Semilinear Wave Equation in AdS
• Gauss-Bonnet Boson Stars with a Single Killing Vector
• Self-interacting boson stars with a single Killing vector field in Anti-de Sitter
• Three-dimensional gravity and instability of ${\text{AdS}}_3$
• Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
• Universality of non-equilibrium dynamics of CFTs from holography
• Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant
• On the stability of anti-de Sitter spacetime
• Open problems in mathematical physics
• Numerical relativity in higher dimensions
• Assessing the stability of ultracompact spinning boson stars with nonlinear evolutions
• Exact black-hole formation with a conformally coupled scalar field in three dimensions
• Charged Boson Stars in AdS and a Zero Temperature Phase Transition
• Cauchy Evolution of Asymptotically Global AdS Spacetimes with No Symmetries
• Turbulence and Chaos in Anti-de-Sitter Gravity
• Examining Instabilities Due to Driven Scalars in AdS
• Gravitational collapse in AdS: instabilities, turbulence, and information
• On the critical behaviour of gapped gravitational collapse in confined spacetime
• The Roberts-(A)dS spacetime
• Gravitational collapse in the AdS background and the black hole formation
• Phase Diagram of Stability for Massive Scalars in Anti-de Sitter Spacetime
• Dynamics of Nonlinear Waves on Bounded Domains
• Complexity of Scalar Collapse in Anti-de Sitter Spacetime
• Gravitational systems in asymptotically anti-de Sitter space-times
• Scalar collapse in AdS with an OpenCL open source code
• The second-order quasi-normal modes for AdS black branes
• Universal turbulence on branes in holography
• Nonlinear perturbations of higher dimensional anti-de Sitter spacetime
• Gravitational Perturbations in a cavity: Nonlinearities
• Gravothermal catastrophe and critical dimension in a $D$-dimensional asymptotically AdS spacetime
• $\ell$-Boson stars in anti-de Sitter spacetime
• Energy transfer in the collision of two scalar wave packets in spherical symmetry
• Einstein-Vlasov system with equal-angular momenta in ${\text{AdS}}_5$