Numerical Solution of the Ekpyrotic Scenario in the Moduli Space Approximation

TL;DR

This paper presents a numerical analysis of the ekpyrotic scenario within the moduli space approximation, demonstrating the behavior of brane collisions and potential effects in a cosmological model.

Contribution

It provides the first detailed numerical solution for the ekpyrotic bulk brane scenario considering a specific potential and tension conditions.

Findings

No bulk brane collision occurs in the considered case.

The solution behavior is similar for positive and negative brane tensions.

The potential approaches zero exponentially at large and small distances.

Abstract

A numerical solution to the equations of motion for the ekpyrotic bulk brane scenario in the moduli space approximation is presented. The visible universe brane has positive tension, and we use a potential that goes to zero exponentially at large distance, and also goes to zero at small distance. In the case considered, no bulk brane, visible brane collision occurs in the solution. This property and the general behavior of the solution is qualitatively the same when the visible brane tension is negative, and for many different parameter choices.