On weakly turbulent instability of anti-de Sitter space

Details On weakly turbulent instability of anti-de Sitter space On weakly turbulent instability of anti-de Sitter space

2011-04-19

arxiv.org/abs/1104.3702v5

Phys.Rev.Lett.107:031102,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures. Oops, in the previous versions the values of parameters of initial data and horizon radii were given by mi

Scientific paper

10.1103/PhysRevLett.107.031102

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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