Cosmological solutions for a two-branes system in a vacuum bulk

TL;DR

This paper investigates cosmological solutions in a five-dimensional two-branes model with a scalar field on the hidden brane, analyzing the dynamics when radion effects are negligible using a dynamical system approach.

Contribution

It introduces a novel analysis of two-branes cosmology with a scalar field acting as dark matter, providing a comprehensive set of solutions under specific conditions.

Findings

Identified all possible cosmological solutions in the model.

Demonstrated the scalar field's role as primordial dark matter.

Showed radion effects are negligible in certain regimes.

Abstract

We study the cosmology for a two branes model in a space-time of five dimensions where the extra coordinate is compactified on an orbifold. The hidden brane is filled with a real scalar field endowed with a quadratic potential that behaves as primordial dark matter field. This case is analyzed when the radion effects are negligible in comparison with the density energy; all possible solutions are found by means of a dynamical system approach.