On avoiding cosmological oscillating behavior for S-brane solutions with diagonal metrics

TL;DR

This paper explores specific higher-dimensional cosmological models with form fields and diagonal metrics, demonstrating that certain configurations avoid chaotic oscillations near the singularity, contrary to previous conjectures.

Contribution

It identifies classes of solutions with maximal composite electric S-branes that do not exhibit chaotic oscillations near the singularity.

Findings

Explicit examples in D=4 and D=5 dimensions show non-oscillatory behavior.

Replacing composite branes with non-composite ones leads to chaotic oscillations.

The results challenge the universality of chaotic behavior in such models.

Abstract

In certain string inspired higher dimensional cosmological models it has been conjectured that there is generic, chaotic oscillating behavior near the initial singularity -- the Kasner parameters which characterize the asymptotic form of the metric "jump" between different, locally constant values and exhibit a never-ending oscillation as one approaches the singularity. In this paper we investigate a class of cosmological solutions with form fields and diagonal metrics which have a "maximal" number of composite electric S-branes. We look at two explicit examples in D=4 and D=5 dimensions that do not have chaotic oscillating behavior near the singularity. When the composite branes are replaced by non-composite branes chaotic oscillating