Novel modulus stabilization mechanism in higher dimensional f(R) Gravity

TL;DR

This paper introduces a new warped solution in 5D f(R) gravity that naturally stabilizes the modulus without external fields and addresses the gauge hierarchy problem.

Contribution

It presents a novel warped solution in higher-dimensional f(R) gravity that achieves geometric modulus stabilization inherently, eliminating the need for additional stabilizing fields.

Findings

Modifies the warped metric with higher curvature terms.

Achieves natural modulus stabilization without external fields.

Resolves the gauge hierarchy problem without fine-tuning.

Abstract

In this work, we obtain a new warped solution for a 5-dimensional $f(R) $ gravity in an anti de-Sitter bulk. The higher curvature term in the gravity action is shown to modify the usual warped metric. The novel feature of this modification leads to a natural geometric stabilization of the modulus/radion field in the underlying effective theory on the visible 3-brane without the need for any external stabilizing field. It is further shown that the stabilized value of the modulus resolves the well-known gauge hierarchy problem without any unnatural fine-tuning of the model parameters. This new solution also opens up the possibilities of new signatures in various scenarios formulated in the backdrop of higher dimensional space-time.