Gravitational turbulent instability of AdS{}₅
classification
🌀 gr-qc
hep-th
keywords
gravitationalperturbationsvarepsilonanalogyansatzanti-debianchibiaxial
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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 $\mathcal{O}(\varepsilon^{-2})$, where $\varepsilon$ is the size of the perturbation.
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