%0 Journal Article
%T Kink Stability of Self-Similar Solutions of Scalar Field in 2+1 Gravity
%A Anzhong Wang
%A Yumei Wu
%J Physics
%D 2005
%I arXiv
%R 10.1007/s10714-007-0413-7
%X The kink stability of self-similar solutions of a massless scalar field with circular symmetry in 2+1 gravity is studied, and found that such solutions are unstable against the kink perturbations along the sonic line (self-similar horizon). However, when perturbations outside the sonic line are considered, and taking the ones along the sonic line as their boundary conditions, we find that non-trivial perturbations do not exist. In other words, the consideration of perturbations outside the sonic line limits the unstable mode of the perturbations found along the sonic line. As a result, the critical solution for the scalar collapse remains critical even after the kink perturbations are taken into account.
%U http://arxiv.org/abs/gr-qc/0506010v1