Accelerating universe in brane gravity with a confining potential

TL;DR

This paper develops a brane-world cosmological model where a confining potential leads to an extra term in the Friedmann equation, offering a phenomenological explanation for the universe's accelerated expansion consistent with observational data.

Contribution

It introduces a new brane-world model with a confining potential that naturally produces an acceleration term aligning with observations.

Findings

The model's predictions agree with observational data.

The extra term acts as X-matter driving acceleration.

Provides a geometric explanation for cosmic acceleration.

Abstract

We construct the Einstein field equations on a 4-dimensional brane embedded in an $m$-dimensional bulk where the matter fields are confined to the brane by means of a confining potential. As a result, an extra term in the Friedmann equation in a $m$-dimensional bulk appears that may be interpreted as the X-matter, providing a possible phenomenological explanation for the acceleration of the universe. The study of the relevant observational data suggests good agreement with the predictions of this model.