Scalar Kinks in Warped Extra Dimensions

TL;DR

This paper investigates static scalar field configurations in warped 5D models, revealing multiple solutions and addressing their stability, with implications for extra-dimensional stabilization in braneworld scenarios.

Contribution

It identifies multiple nonlinear scalar configurations in warped 5D models and derives their perturbative stability equations, advancing understanding of stabilization mechanisms.

Findings

Multiple nontrivial solutions found for scalar fields in warped 5D models.

Gravity influences the existence and stability of scalar configurations.

Derived perturbation equations for coupled gravity and scalar fields.

Abstract

We study the existence and stability of static kink-like configurations of a 5D scalar field, with Dirichlet boundary conditions, along the extra dimension of a warped braneworld. In the presence of gravity such configurations fail to stabilize the size of the extra dimension, leading us to consider additional scalar fields with the role of stabilization. We numerically identify multiple nontrivial solutions for a given 5D action, made possible by the nonlinear nature of the background equations, which we find is enhanced in the presence of gravity. Finally, we take a first step towards addressing the question of the stability of such configurations by deriving the full perturbative equations for the gravitationally coupled multi-field system.