Models of modified $F(R,T)$ and cuscuton braneworld

TL;DR

This paper explores advanced braneworld models with scalar fields in five-dimensional warped geometries, incorporating generalized gravity terms and cuscuton contributions, revealing new brane configurations while maintaining stability.

Contribution

It introduces novel braneworld scenarios with modified gravity terms and analyzes their stability and geometric properties, including the effects of cuscuton and stress-energy trace contributions.

Findings

Branes can become thinner while remaining stable.

No split behavior observed in warp factor with cuscuton.

Models maintain gravitational zero mode stability.

Abstract

This work deals with braneworld models in the presence of scalar fields in a five-dimensional warped geometry with a single extra dimension of infinite extent. We consider generalized models in the presence of the Ricci scalar, the trace of the stress-energy tensor and the cuscuton contribution. The models describe novel braneworld scenarios and the investigations consider distinct possibilities, from which we show how the brane may change to become thinner, although keeping gravitational stability and the gravity zero mode under strict control. Moreover, we did not identify any split behavior in the warp factor in the presence of the cuscuton and the trace of the stress-energy tensor.