Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology

TL;DR

This paper explores how Loop Quantum Cosmology corrections to Gauss-Bonnet gravity can produce specific singular cosmological scenarios, analyzing their characteristics and effects on primordial perturbations.

Contribution

It identifies holonomy corrected $F( ext{G})$ gravities capable of realizing intermediate inflation and singular bounce scenarios, highlighting their minor impact on primordial power spectra.

Findings

Successfully models intermediate inflation with Type III singularity.

Models singular bounce with Type IV singularity.

Holonomy corrections have minor effects on primordial power spectrum.

Abstract

In this work we investigate which Loop Quantum Cosmology corrected Gauss-Bonnet $F(\mathcal{G})$ gravity can realize two singular cosmological scenarios, the intermediate inflation and the singular bounce scenarios. The intermediate inflation scenario has a Type III sudden singularity at $t=0$, while the singular bounce has a soft Type IV singularity. By using perturbative techniques, we find the holonomy corrected $F(\mathcal{G})$ gravities that generate at leading order the aforementioned cosmologies and we also argue that the effect of the holonomy corrections is minor to the power spectrum of the primordial curvature perturbations of the classical theory.