Dynamics of radiating braneworlds

TL;DR

This paper investigates the dynamics of a modified Randall-Sundrum braneworld cosmology, deriving exact solutions and analyzing the global behavior of the model's phase space to understand how high-energy particle interactions affect universe evolution.

Contribution

It provides the first exact solutions for a proposed model of radiating braneworlds and applies dynamical systems methods to analyze its global solution structure.

Findings

Exact solutions of the modified braneworld equations

Global phase space analysis reveals stability properties

Insights into Weyl energy density evolution

Abstract

If the observable universe is a braneworld of Randall-Sundrum type, then particle interactions at high energies will produce 5-dimensional gravitons that escape into the bulk. As a result, the Weyl energy density on the brane does not behave like radiation in the early universe, but does so only later, in the low energy regime. Recently a simple model was proposed to describe this modification of the Randall-Sundrum cosmology. We investigate the dynamics of this model, and find the exact solution of the field equations. We use a dynamical systems approach to analyze global features of the phase space of solutions.