Scalar perturbation of gravitating double-kink solutions

Abstract

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

6 pages, 4 figures, final version published by EPL

References in corpus (6)

• Novel cosmological and black hole solutions in Einstein and higher-derivative gravity in two dimensions
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime
• K-field kinks in two-dimensional dilaton gravity
• A de Sitter tachyonic braneworld revisited
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Normal modes for two-dimensional gravitating kinks

Cited by in corpus (6)

• Singular Pöschl-Teller II potentials and gravitating kinks
• Kink solutions in generalized 2D dilaton gravity
• Moving Kinks and Their Wave Packets
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• One-Dimensional Relativistic Self-Gravitating Systems
• Compact, long-range and vacuumless regimes controlled by scalar fields in two-dimensional flat and five-dimensional warped geometries