Scalar perturbation of gravitating double-kink solutions

Abstract In this letter, a two-dimensional (2D) gravity-scalar model is studied. This supports interesting double-kink solutions, and the corresponding metric solutions can be derived analytically. Depending on tunable parameter c , symmetric or asymmetric. The Schrödinger-like equation for normal modes of physical linear perturbation derived. As varies, effective potential have one two singular barriers. If larger than critical value, zero mode will normalizable, despite appearance strong repulsive singularity. solution always stable against perturbations.