The stability of a bouncing universe

TL;DR

This paper demonstrates that a non-singular bouncing universe model remains stable under perturbations, with all perturbation variables remaining finite and well-behaved, challenging previous claims of instability.

Contribution

It provides a comprehensive analysis showing the stability of a bouncing universe against perturbations, correcting earlier misconceptions.

Findings

Perturbations are regular and free of divergences.

The model's stability is confirmed through the behavior of the Weyl tensor and shear.

Contradicts previous literature claiming instability.

Abstract

We investigate the stability of a spatially homogeneous and isotropic non-singular cosmological model. We show that the complete set of independent perturbations (the electric part of the perturbed Weyl tensor and the perturbed shear) are regular and well behaved functions which have no divergences, contrary to previous claims in the literature.