Einstein static universe from GUP

TL;DR

This paper investigates how the Generalized Uncertainty Principle (GUP) influences the stability of the Einstein static universe, suggesting it can remain stable eternally and potentially resolve the big bang singularity.

Contribution

It demonstrates that GUP effects can stabilize the Einstein static universe and allow for an emergent universe scenario, extending previous models with quantum gravity considerations.

Findings

The Einstein static universe is cyclically stable with GUP effects.

The scale factor depends on the GUP coupling parameter α.

The model supports a past-eternal Einstein static state, avoiding the big bang singularity.

Abstract

We consider the existence and stability of the Einstein static universe under the Generalized Uncertainty Principle (GUP) effects. We show that this solution in the presence of perfect fluid with a minimal length is cyclically stable around a center equilibrium point. By taking linear homogeneous perturbations, we find that the scale factor of Einstein static universe for closed deformed isotropic and homogeneous FLRW universe depends on the GUP coupling parameter $\alpha$. Thus, in the model by GUP effects, our universe can stay at the Einstein static state past-eternally, which means that the big bang singularity might be resolved successfully by an emergent scenario.