Scaling solution, radion stabilization, and initial condition for brane-world cosmology

TL;DR

This paper introduces a self-consistent scenario for setting initial conditions in five-dimensional brane-world cosmologies, utilizing a scale-invariant effective theory and a radion stabilization mechanism to ensure a well-defined evolution.

Contribution

It presents an exact analytic scaling solution for scale-invariant five-dimensional brane-world models, including the Horava-Witten theory, and demonstrates its role as a future attractor.

Findings

The scaling solution acts as a future attractor for the system.

Radion stabilization influences low-energy brane dynamics.

The approach provides a natural initial condition for brane-world cosmology.

Abstract

We propose a new, self-consistent and dynamical scenario which gives rise to well-defined initial conditions for five-dimensional brane-world cosmologies with radion stabilization. At high energies, the five-dimensional effective theory is assumed to have a scale invariance so that it admits an expanding scaling solution as a future attractor. The system automatically approaches the scaling solution and, hence, the initial condition for the subsequent low-energy brane cosmology is set by the scaling solution. At low energies, the scale invariance is broken and a radion stabilization mechanism drives the dynamics of the brane-world system. We present an exact, analytic scaling solution for a class of scale-invariant effective theories of five-dimensional brane-world models which includes the five-dimensional reduction of the Horava-Witten theory, and provide convincing evidence that the scaling solution is a future attractor.