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Journal Article

Resonant dynamics and the instability of anti-de Sitter spacetime

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Maliborski,  Maciej
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1506.03519.pdf
(Preprint), 545KB

PhysRevLett.115_081103.pdf
(Any fulltext), 345KB

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Citation

Bizon, P., Maliborski, M., & Rostworowski, A. (2015). Resonant dynamics and the instability of anti-de Sitter spacetime. Physical Review Letters, 115: 081103. doi:10.1103/PhysRevLett.115.081103.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0027-A7B9-3
Abstract
We consider spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant in five dimensions and analyze evolution of small perturbations of anti-de Sitter spacetime using the recently proposed resonant approximation. We show that for typical initial data the solution of the resonant system develops an oscillatory singularity in finite time. This result hints at a possible route to establishing instability of AdS under arbitrarily small perturbations.