Resonant dynamics and the instability of anti-de Sitter spacetime

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Written by Maciej Maliborski

The resonant approximation for the small perturbations of AdS will be discussed with an emphasis on Einstein-massless-scalar field system in five dimensions. It will be demonstrated that for large class of initial data solution of the resonant system develops an oscillatory singularity in finite time. The quasi-periodic solutions obtained within this approximation will be presented. Finally, comparison of resonant system with fully nonlinear evolution will be given. (Based on arXiv:1506.03519.)