Emergent universe in theories with natural UV cutoffs

TL;DR

This paper explores how theories with natural UV cutoffs, characterized by a generalized uncertainty principle, can realize the emergent universe scenario by producing stable Einstein static solutions and enabling a transition to expansion.

Contribution

It demonstrates the role of a deformation parameter in generating new Einstein static solutions and facilitating a graceful exit to an expanding universe, advancing emergent universe models.

Findings

New Einstein static universe solutions due to the deformation parameter

Stable static solutions that enable a transition to expansion

Potential for a complete emergent universe scenario

Abstract

We investigate the realization of the emergent universe scenario in theories with natural UV cutoffs, namely a minimum length and a maximum momentum, quantified by a new deformation parameter in the generalized uncertainty principle. We extract the Einstein static universe solutions and we examine their stability through a phase-space analysis. As we show, the role of the new deformation parameter is crucial in a twofold way: Firstly, it leads to the appearance of new Einstein static universe critical points, that are absent in standard cosmology. Secondly, it provides a way for a graceful exit from the Einstein static universe into the expanding thermal history, that is needed for a complete and successful realization of the emergent universe scenario.