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Journal Article

Weakly Turbulent Instability of Anti–de Sitter Spacetime

MPS-Authors

Bizon,  Piotr
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1104.3702
(Preprint), 242KB

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There is no public supplementary material available
Citation

Bizon, P., & Rostworowski, A. (2011). Weakly Turbulent Instability of Anti–de Sitter Spacetime. Physical Review Letters, 107(3): 031102. doi:10.1103/PhysRevLett.107.031102.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-06C0-C
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.