Randall-Sundrum brane-world in modified gravity

TL;DR

This paper explores a modified Randall-Sundrum brane-world model by adding a scalar curvature squared term, demonstrating that this modification does not destabilize the solution addressing the hierarchy problem.

Contribution

It introduces a higher-curvature term into the Randall-Sundrum model and shows it preserves the stability of the hierarchy solution.

Findings

The scalar curvature squared term does not destabilize the Randall-Sundrum solution.

The hierarchy problem solution remains stable with the added term.

Modified model maintains key features of the original setup.

Abstract

We modify Randall-Sundrum model of brane-world (with two branes) by adding the scalar curvature squared term in five dimensions. We find that it does not destabilize Randall-Sundrum solution to the hierarchy problem of the Standard Model in particle physics.