Generalized Global Defect Solutions

TL;DR

This paper explores new defect solutions in generalized scalar field models, revealing stable structures with modified profiles that can lead to novel evolutions beyond standard scenarios in higher dimensions.

Contribution

It introduces two types of generalizations for scalar field models and analyzes their static solutions and stability, expanding the understanding of defect structures in these models.

Findings

Stable defect structures with modified profiles found

New evolutions possible in higher spatial dimensions

Generalized models extend standard defect solutions

Abstract

We investigate the presence of defect structures in generalized models described by real scalar field in $(1,1)$ space-time dimensions. We work with two distinct generalizations, one in the form of a product of functions of the field and its derivative, and the other as a sum. We search for static solutions and study the corresponding linear stability on general grounds. We illustrate the results with several examples, where we find stable defect structures of modified profile. In particular, we show how the new defect solutions may give rise to evolutions not present in the standard scenario in higher spatial dimensions.