Study of models of the sine-Gordon type in flat and curved spacetime

TL;DR

This paper introduces a family of sine-Gordon type models, explores their topological defects, and demonstrates their application in braneworld scenarios with stable gravity configurations.

Contribution

It presents a deformation method to generate new sine-Gordon models and analyzes their topological solutions and stability in extra-dimensional frameworks.

Findings

Explicit solutions for topological defects derived from sine-Gordon models

Stable gravity scenarios in braneworld models with double sine-Gordon

Deformation procedure enables iterative generation of diverse models

Abstract

We study a new family of models of the sine-Gordon type, starting from the sine-Gordon model, including the double sine-Gordon, the triple one, and so on. The models appears as deformations of the starting model, with the deformation controlled by two parameters, one very small, used to control a linear expansion on it, and the other, which specifies the particular model in the family of models. We investigate the presence of topological defects, showing how the solutions can be constructed explicitly from the topological defects of the sine-Gordon model itself. In particular, we delve into the double sine-Gordon model in a braneworld scenario with a single extra dimension of infinite extent, showing that a stable gravity scenario is admissible. Also, we briefly show that the deformation procedure can be used iteratively, leading to a diversity of possibilities to construct families of models of the sine-Gordon type.