Shear-free rotating inflation

TL;DR

This paper presents shear-free rotating cosmological models with inflationary behavior, showing that rotation and vorticity do not hinder inflation and can even enhance it within Bianchi type IX models.

Contribution

It introduces shear-free rotating inflationary models within Bianchi type IX, demonstrating that vorticity can support and accelerate inflation.

Findings

Rotation does not prevent inflation.

Vorticity can accelerate inflation.

Models are of Bianchi type IX geometry.

Abstract

We demonstrate the existence of shear-free cosmological models with rotation and expansion which support the inflationary scenarios. The corresponding metrics belong to the family of spatially homogeneous models with the geometry of the closed universe (Bianchi type IX). We show that the global vorticity does not prevent the inflation and even can accelerate it.