# Radion stabilization in higher curvature warped spacetime

## TL;DR

This paper explores how higher curvature terms in a five-dimensional warped spacetime can naturally stabilize the modulus (radion) field, affecting its mass and interactions, with implications for phenomenology.

## Contribution

It demonstrates that a $F(R) = R + eta R^2$ gravity model in warped spacetime can inherently stabilize the radion without additional fields, providing a geometric stabilization mechanism.

## Key findings

- Radion stabilization is achievable in higher curvature warped spacetime.
- Higher curvature terms modify radion mass and coupling.
- The model identifies parameter regions for stable radion.

## Abstract

We consider a five dimensional AdS spacetime in presence of higher curvature term like $F(R) = R + \alpha R^2$ in the bulk. In this model, we examine the possibility of modulus stabilization from the scalar degrees of freedom of higher curvature gravity free of ghosts. Our result reveals that the model stabilizes itself and the mechanism of modulus stabilization can be argued from a geometric point of view. We determine the region of the parametric space for which the modulus (or radion) can to be stabilized. We also show how the mass and coupling parameters of radion field are modified due to higher curvature term leading to modifications of its phenomenological implications on the visible 3-brane.