%0 Journal Article
%T Nonlinear Collapse in the Semilinear Wave Equation in AdS
%A Steven L. Liebling
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevD.87.081501
%X Previous studies of the semilinear wave equation in Minkowski space have shown a type of critical behavior in which large initial data collapse to singularity formation due to nonlinearities while small initial data does not. Numerical solutions in spherically symmetric Anti-de Sitter (AdS) are presented here which suggest that, in contrast, even small initial data collapse eventually. Such behavior appears analogous to the recent result of Ref. [1] that found that even weak, scalar initial data collapse gravitationally to black hole formation via a weakly turbulent instability. Furthermore, the imposition of a reflecting boundary condition in the bulk introduces a cut-off, below which initial data fails to collapse. This threshold appears to arise because of the dispersion introduced by the boundary condition.
%U http://arxiv.org/abs/1212.6970v3