"Brane localized energy density" stabilizes the modulus in higher dimensional warped spacetime

TL;DR

This paper demonstrates that a positive energy density on the hidden brane in a five-dimensional AdS spacetime can stabilize the modulus, providing a viable solution to the hierarchy problem and characterizing radion properties.

Contribution

It introduces a mechanism where brane localized energy density stabilizes the modulus in a warped extra dimension model, extending previous stabilization approaches.

Findings

Positive hidden brane energy density stabilizes the modulus.

Identifies parameter space for stable radion without hierarchy problem issues.

Calculates radion mass and coupling parameters.

Abstract

We consider a five dimensional AdS spacetime with two 3-brane scenario where the hidden brane contains a certain amount of positive constant energy density. In this model, we examine the possibility of modulus stabilization. Our result reveals that the non-zero value of "hidden brane energy density" is sufficient to stabilize the two brane system. Moreover we scan the parametric space for which the modulus (or radion) is going to be stabilized without sacrificing the conditions necessary to solve the gauge hierarchy problem. Finally we obtain the mass and coupling parameters of radion field in this higher dimensional braneworld scenario.