Twinlike models for kinks and compactons in flat and warped spacetime

TL;DR

This paper explores the construction of twinlike scalar field models that share solutions, energy densities, and stability properties, in both flat and warped spacetimes, including braneworld scenarios with extra dimensions.

Contribution

It introduces a method to generate distinct scalar field theories with identical solutions and stability, extending the concept to curved spacetime and braneworld models.

Findings

Twinlike models have identical solutions and stability in flat spacetime.

Construction of twin models in curved spacetime with a single extra dimension.

Analysis of linear stability in both gravity and scalar sectors for braneworld scenarios.

Abstract

This work deals with the presence of twinlike models in scalar field theories. We show how to build distinct scalar field theories having the same extended solution, with the same energy density and the very same linear stability. Here, however, we start from a given but generalized scalar field theory, and we construct the corresponding twin model, which also engenders generalized dynamics. We investigate how the twinlike models arise in flat and in curved spacetime. In the curved spacetime, we consider a braneword model with the warp factor controlling the spacetime geometry with a single extra dimension of infinite extent. In particular, we study linear stability in the flat and curved spacetime, and in the case of curved spacetime, in both the gravity and the scalar field sectors, for the two braneworld models.