Twinlike Models in Scalar Field Theories

TL;DR

This paper explores twinlike models in scalar field theories, demonstrating how different models can support identical defect solutions and analyzing their formation in flat and curved spacetimes, including braneworld scenarios.

Contribution

It introduces a new class of models supporting identical defect solutions and examines their properties in both flat and curved spacetime contexts.

Findings

Different models can support the same defect solutions with identical energy densities.

The new class of models is applicable in flat spacetime and curved braneworld scenarios.

Brane formation from static field configurations is analyzed in curved spacetime.

Abstract

This work deals with the presence of defect structures in models described by real scalar field in a diversity of scenarios. The defect structures which we consider are static solutions of the equations of motion which depend on a single spatial dimension. We search for different models, which support the same defect solution, with the very same energy density. We work in flat spacetime, where we introduce and investigate a new class of models. We also work in curved spacetime, within the braneworld context, with a single extra dimension of infinite extent, and there we show how the brane is formed from the static field configuration.