Bouncing Model in Brane World Theory

TL;DR

This paper models a nonsingular bouncing universe within brane world theory, showing how extra-dimensional effects can produce smooth transitions between different cosmological phases without singularities.

Contribution

It introduces a brane world cosmological model with a timelike extra dimension that naturally produces nonsingular bounces and multiple accelerated phases.

Findings

Demonstrates nonsingular bounce with phase space analysis

Identifies transition from primordial acceleration to de Sitter phase

Connects model parameters with observational cosmology

Abstract

We examine the nonlinear dynamics of a closed Friedmann-Robertson-Walker universe in the framework of Brane World formalism with a timelike extra dimension. In this scenario, the Friedmann equations contain additional terms arising from the bulk-brane interaction which provide a concrete model for nonsingular bounces in the early phase of the Universe. We construct a nonsingular cosmological scenario sourced with dust, radiation and a cosmological constant. The structure of the phase space shows a nonsingular orbit with two accelerated phases, separated by a smooth transition corresponding to a decelerated expansion. Given observational parameters we connect such phases to a primordial accelerated phase, a soft transition to Friedmann (where the classical regime is valid), and a graceful exit to a de Sitter accelerated phase.