Radion cosmology and stabilization

TL;DR

This paper investigates the dynamics of the radion field in a five-dimensional Randall-Sundrum brane world model, demonstrating how its evolution can lead to inflation and proposing a stabilization mechanism for the radion.

Contribution

It introduces a time-dependent analysis of radion evolution and proposes a generalized stabilization mechanism to explain the transition from inflation to a stable universe.

Findings

Radion field decreases over time, causing exponential growth of the brane scale factor.

The proposed stabilization mechanism allows the radion to reach a stable value.

The model provides a framework for understanding inflation and stabilization in brane cosmology.

Abstract

We solve the Einstein's equation in five-dimensional spacetime for Randall Sundrum Brane world model with time dependent radion field to study variation of brane scale factor with time. We have shown that as radion field decreases with time compactifying the extra dimension, the scale factor increases exponentially with time leading to inflationary scenario. We have also proposed a time dependent generalization of Goldberger-Wise moduli stabilization mechanism to explain the time evolution of the radion field to reach a stable value after which the scale factor on the brane exits from inflationary expansion.