Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity

TL;DR

This paper explores how vacuum $F(G)$ gravity can produce a bouncing cosmology with a Type IV singularity, analyzing stability, perturbations, and mimetic extensions to understand its viability and characteristics.

Contribution

It demonstrates the generation of Type IV singular bouncing solutions within vacuum $F(G)$ gravity and examines their stability and perturbation behavior, including mimetic extensions.

Findings

Vacuum $F(G)$ gravity can produce Type IV singular bounce solutions.

The stability of these solutions depends on the dynamical system analysis.

Scalar perturbations near the singularity are characterized and understood.

Abstract

We study how a cosmological bounce with a Type IV singularity at the bouncing point, can be generated by a classical vacuum $F(G)$ gravity. We focus our investigation on the behavior of the vacuum $F(G)$ theory near the Type IV singular bouncing point and also we address the stability of the resulting solution, by treating the equations of motion as a dynamical system. In addition, we investigate how the scalar perturbations of the background metric evolve, emphasizing to cosmological times near the Type IV singular bouncing point. Finally, we also investigate which mimetic vacuum $F(G)$ gravity can describe the singular bounce cosmology.