Cosmological constraints in a two branes system for a vacuum bulk

TL;DR

This paper investigates how the dynamics of a visible brane in a 5D two-brane system are influenced by a hidden brane and its contents, considering both constant equation of state and inflationary scalar field scenarios.

Contribution

It introduces a detailed analysis of the effects of hidden brane components on the evolution of the visible brane in a 5D vacuum bulk setting.

Findings

The hidden brane influences the visible brane's dynamics.

Different matter content scenarios lead to distinct brane evolution patterns.

The model provides insights into brane cosmology with vacuum bulk and scalar fields.

Abstract

We present the study of a two 3-branes system embedded in a 5-dimensional space-time in which the fifth dimension is compacted on a $S^{1}/Z_{2}$ orbifold and the space between the two branes is vacuum. Assuming isotropic and homogeneous space time, we probe that the dynamics of the visible brane is affected by the dynamics of the hidden brane and the possible components which fills it. We study two different cases: assuming a constant equation of state and inflationary scalar field, and its possible consequences in the brane evolution.