2011/04/30 by Piotr Bizoń, Andrzej Rostworowski · 22 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Geometry #Instability #Massless particle #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Universe #gr-qc #hep-th #math.AP
paper · pdf · doi:10.1103/physrevlett.107.031102
published as Phys.Rev.Lett.107:031102,2011 · 4 pages, 4 figures. Oops, in the previous versions the values of parameters of initial data and horizon radii were given by mistake in units used by us in numerical simulations $\ell=2/π$, instead of $\ell=1$. This mistake in Eq.(9) is corrected and the vertical axis in Fig.1 is rescaled accordingly
openalex publication_date 2011/07/15 · arxiv created 2011/09/02 · arxiv updated 2011/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.