Cosmological constraints for a two brane-world system with single equation of state

TL;DR

This paper investigates the cosmological behavior of a two-brane system in a five-dimensional space-time, focusing on how one brane's dynamics are influenced by the other under specific conditions.

Contribution

It introduces a model of a two-brane system with a single fluid component and analyzes the resulting cosmological dynamics with particular metric assumptions.

Findings

One brane's dynamics are dominated by the other under certain metric conditions.

The cosmological evolution depends on the fluid component on one brane.

The model provides insights into brane-world cosmology with a single fluid.

Abstract

We present the study of two 3-brane system embedded in a 5-dimensional space-time in which the fifth dimension is compactified on a $S^{1}/Z_{2}$ orbifold. Assuming isotropic, homogeneous, and static branes, it can be shown that the dynamics of one brane is dominated by the other one when the metric coefficients have a particular form. We study the resulting cosmologies when one brane is dominated by a given single-fluid component.