Stability of S-brane singular solutions and expansion of the universe

TL;DR

This paper studies the stability of S-brane singular solutions and explores their implications for cosmic inflation and late-time acceleration, finding stable solutions under certain conditions.

Contribution

It identifies conditions for stability of S-brane solutions and applies these to models of universe expansion, advancing understanding of brane cosmology.

Findings

Stable perturbative solutions exist for each S-brane singular solution.

Unstable solutions occur when the dilaton field is time-independent.

Applications to inflation and late-time acceleration are demonstrated.

Abstract

We investigate stability of single S-brane singular solutions obtained in our previous papers. A stable perturbative solution exists for each of them, while an unstable one exists only if the dilaton field does not depend on time. We apply these perturbative solutions to inflation and late-time acceleration of expansion of the universe.