On closed cosmological models that satisfy the strong energy condition but do not recollapse

TL;DR

This paper demonstrates the existence of closed Bianchi type IX cosmological models that, despite satisfying the strong energy condition, expand indefinitely without recollapsing, challenging typical expectations.

Contribution

It introduces a broad class of closed cosmological models that defy recollapse while meeting the strong energy condition, expanding understanding of possible universe evolutions.

Findings

Existence of non-recollapsing closed models

Models satisfy strong energy condition widely

Models expand indefinitely over time

Abstract

We show the existence of a rather general class of closed cosmological models of Bianchi type IX that do not exhibit recollapse but expand for all times. This is despite the fact that these models satisfy the strong energy condition by a wide margin.