Cuscuta-Galileon Braneworlds

TL;DR

This paper explores braneworld models derived from the Cuscuta-Galileon theory, developing a first order framework to find stable solutions connecting different geometric configurations, with implications for gravity localization.

Contribution

It introduces a novel first order approach to analyze Cuscuta-Galileon braneworlds and identifies conditions for stable, interpolating solutions between Minkowski and anti de Sitter geometries.

Findings

Stable solutions connecting Minkowski and AdS geometries.

Conditions for parameter choices to achieve desired brane interpolations.

Gravity sector remains stable under small metric fluctuations.

Abstract

We investigate braneworlds modeled by topological solutions that arise from the so-called Cuscuta-Galileon model. We develop a first order framework and illustrate our procedure with the scalar field having the well-known hyperbolic tangent profile. We find conditions that must be imposed to the parameters of the model in order to have solutions connecting minima of the potential, with the brane constrained to interpolate Minkowski and anti de Sitter geometries. We also find solutions where the brane only interpolates anti de Sitter geometry. In both cases, the gravity sector of the brane is stable against small fluctuations of the metric.