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arXiv · 1104.3702

On weakly turbulent instability of anti-de Sitter space

Piotr Bizoń·Andrzej Rostworowski
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Abstract

We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) spacetime by solving numerically the four-dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant. Our results suggest that AdS spacetime is unstable under arbitrarily small generic perturbations. We conjecture that this instability is triggered by a resonant mode mixing which gives rise to diffusion of energy from low to high frequencies.

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Piotr Bizoń, Andrzej Rostworowski. 2011-09-02. On weakly turbulent instability of anti-de Sitter space. https://doi.org/10.1103/physrevlett.107.031102

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