title: Weakly turbulent instability of anti-de Sitter spacetime.
abstract: We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) space by solving numerically the four-dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant. Our results suggest that AdS space 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.
authors.affiliation: Institute of Physics, Jagiellonian University, Kraków, Poland.
authors.forename: Piotr
authors.initials: P
authors.lastname: Bizoń
authors.forename: Andrzej
authors.initials: A
authors.lastname: Rostworowski