Gravitational turbulent instability of AdS${}_5$

Abstract

We consider the problem of stability of anti-de Sitter spacetime in five dimensions under small purely gravitational perturbations satisfying the cohomogeneity-two biaxial Bianchi IX ansatz. In analogy to spherically symmetric scalar perturbations, we observe numerically a black hole formation on the time-scale $\mathcal{O}({\epsilon }^{-2})$, where $\epsilon$ is the size of the perturbation.

arXiv commenttalk given at Strings2014, Princeton, June 2014

References in corpus (6)

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• Critical behavior in vacuum gravitational collapse in 4+1 dimensions
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Cited by in corpus (15)

• Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
• Black resonators and geons in AdS${}_5$
• De Sitter bubbles from anti-de Sitter fluctuations
• Energy returns in global AdS_4
• Breathing modes, quartic nonlinearities and effective resonant systems
• New islands of stability with double-trace deformations
• Global dynamics of asymptotically locally AdS spacetimes with negative mass
• Time-periodicities in holographic CFTs
• AdS instability: resonant system for gravitational perturbations of AdS${}_5$ in the cohomogeneity-two biaxial Bianchi IX ansatz
• Revisiting the Aretakis constants and instability in two-dimensional Anti-de Sitter spacetimes
• Resonant Dynamics and the Instability of the Box Minkowski Model
• 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
• Einstein-Vlasov system with equal-angular momenta in ${\text{AdS}}_5$