Scalar field models driven by Dirac-Born-Infeld dynamics and their relatives

TL;DR

This paper explores novel kink-like solutions in scalar field theories with Dirac-Born-Infeld dynamics, analyzing their stability, deformation methods, and applications to the $eta$-Starobinsky potential, introducing new generalized models.

Contribution

It introduces a first-order formalism and deformation procedure for DBI-driven scalar fields, revealing new topological solutions and generalizations of the $eta$-Starobinsky model.

Findings

Stable kink-like solutions in DBI models

Deformation method detects new topological solutions

Generalized $eta$-Starobinsky models support kink solutions

Abstract

In this paper, we investigate novel kinklike structures in a scalar field theory driven by Dirac-Born-Infeld (DBI) dynamics. Analytical features are reached through a first-order formalism and a deformation procedure. The analysis ensures the linear stability of the obtained solutions, and the deformation method permits to detect new topological solutions given some systems of known solutions. The proposed models vary according to the parameters of the theory. However, in a certain parameter regime, their defect profiles are precisely obtained by standard theories. These are the models relatives. Besides that, we investigate the $\beta-$Starobinsky potential in the perspective of topological defects; and we have shown that it can support kinklike solutions, for both canonical and non-canonical kinetics. As a result, we propose two new kinds of generalizations on the $\beta-$Starobinsky model, by considering the DBI approach. Finally, we explore the main characteristics of such structures in these new scenarios.