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Gravitational turbulent instability of AdS${}_5$

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arxiv 1710.03438 v1 pith:OYD76BQ6 submitted 2017-10-10 gr-qc hep-th

Piotr Bizoń , Andrzej Rostworowski This is my paper · ORCID
classification gr-qchep-th
keywords gravitationalperturbationsvarepsilonanalogyansatzanti-debianchibiaxial
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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 $\mathcal{O}(\varepsilon^{-2})$, where $\varepsilon$ is the size of the perturbation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Numerical evidence that every squashed three-sphere conformal infinity admits a unique horizonless static vacuum fill-in and a one-parameter family of black-hole fill-ins in 5D AdS.

  2. Critical Phenomena in Gravitational Collapse

    gr-qc 2025-07 unverdicted novelty 3.0 of 10

    An authoritative review of critical collapse, updated with results on nonspherical vacuum collapse and rigorous PDE blowup.

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