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.

talk given at Strings2014, Princeton, June 2014

Cited by in corpus (7)

• Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
• De Sitter bubbles from anti-de Sitter fluctuations
• Time-periodicities in holographic CFTs
• Revisiting the Aretakis constants and instability in two-dimensional Anti-de Sitter spacetimes
• Resonant Dynamics and the Instability of the Box Minkowski Model
• Gravothermal catastrophe and critical dimension in a $D$-dimensional asymptotically AdS spacetime
• Einstein-Vlasov system with equal-angular momenta in ${\text{AdS}}_5$