Accelerating universe in $f({\cal R})$ brane gravity

TL;DR

This paper explores a 5D $f(R)$ brane gravity model within scalar-tensor theories, demonstrating that specific choices of $f(R)$ can produce an accelerated universe driven by bulk curvature, aligning with cosmological observations.

Contribution

It introduces a novel 5D $f(R)$ brane gravity framework that predicts cosmic acceleration without dark energy, based on the curvature of the bulk space.

Findings

Predicts exponential potential for certain $f(R)$ functions

Results are consistent with observational cosmological data

Shows acceleration driven solely by bulk curvature

Abstract

We study a 5-dimensional $f({\cal R})$ brane gravity within the framework of scalar-tensor type theories. We show that such a model predicts, for a certain choice of $f({\cal R})$ and a spatially flat universe, an exponential potential, leading to an accelerated expanding universe driven solely by the curvature of the bulk space. This result is consistent with the observational data in the cosmological scale.