The Need of Dark Energy for Dynamical Compactification of Extra Dimensions on the Brane

TL;DR

This paper investigates how dark energy is essential for the dynamical compactification of extra dimensions in a six-dimensional braneworld model, linking the evolution of observable and extra dimensions.

Contribution

It demonstrates that dark energy is necessary to suppress the extra dimension's growth relative to the three observable dimensions in a braneworld cosmology.

Findings

Dark energy is required for the suppression of extra dimensions.

The scale factor of the extra dimension is related to the physical universe's scale factor.

Matter on the brane influences the evolution of both the observable and extra dimensions.

Abstract

We consider a six-dimensional braneworld model and we study the cosmological evolution of a (4+1) brane-universe. Introducing matter on the brane we show that the scale factor of the physical three-dimensional brane-universe is related to the scale factor of the fourth dimension on the brane, and the suppression of the extra dimension compared to the three dimensions requires the presence of dark energy.