Stabilization of branes in a cosmological setting

TL;DR

This paper investigates the stabilization of brane separation in a five-dimensional cosmological model, demonstrating conditions for accelerated expansion and addressing hierarchy and dark energy issues.

Contribution

It introduces a quadratic potential for radion stabilization that allows for accelerated expansion and solves hierarchy and dark energy problems simultaneously.

Findings

Radion stabilization leads to a nonzero brane separation.

A quadratic potential enables accelerated expansion.

Parameter tuning can address hierarchy and dark energy.

Abstract

We study some cosmological consequences of the five dimensional, two brane Randall-Sundrum scenario. We integrate over the extra dimensions and in four dimensions the action reduces to that of scalar tensor gravity. The radius of the compact extra dimension is taken to be time dependent.It is shown that the radius of the extra dimension rapidly approaches a constant nonzero separation of branes. A radion dominated universe cannot undergo accelerated expansion in the absence of a potential.It is shown that a simple quadratic potential with minimum at zero leads to constant nonzero separation of branes in a similar level but now accelerated expansion is possible. After stabilization the quadratic potential contributes an effective cosmological constant term.We show that with a suitable tuning of parameters the requirements for solving the hierarchy problem and getting an effective dark energy can be satisfied simultaneously.