Five-Dimensional f(R) Braneworld Models

TL;DR

This paper explores five-dimensional f(R) gravity braneworld models, showing how different warp factors influence the need for negative brane tension and their potential to address the hierarchy problem.

Contribution

It extends braneworld sum rules to f(R) gravity, identifying conditions where negative brane tension can be avoided and models that may solve the hierarchy problem.

Findings

Certain warp factors eliminate the need for negative brane tension.

Some models within f(R) gravity can address the hierarchy problem.

Warp factors influence the physical viability of braneworld models.

Abstract

After incorporating the f(R) gravity into the general braneworld sum rules scope, it is shown that some particular class of warped five dimensional nonlinear braneworld models, which may be interesting for the hierarchy problem solution, still require a negative tension brane. For other classes of warp factors (suitable and not suitable for approaching the hierarchy problem) it is not necessary any negative brane tension in the compactification scheme. In this vein, it is argued that in the bulk f(R) gravity context, some types of warp factors may be useful for approaching the hierarchy problem and for evading the necessity of a negative brane tension in the compactification scheme.