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Free keywords:
General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Mathematics, Analysis of PDEs, math.AP
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.