Finite-time singularities in modified $\mathcal{F}(R,G)$-gravity and singularity avoidance

TL;DR

This paper investigates finite-time future singularities in modified $\

Contribution

It reconstructs $\

Findings

Finite-time singularities can be modeled in $\

Higher-order curvature corrections can potentially avoid singularities.

Viscous fluids may also help in curing singularities.

Abstract

We study finite-time future singularities in $\mathcal{F}(R,G)$-gravity, where $R$ and $G$ are the Ricci scalar and the Gauss-Bonnet invariant, respectively. In particular, we reconstruct the $F(G)$-gravity and $\mathcal{F}(R,G)$-gravity models realizing the finite-time future singularities. We discuss a possible way to cure the finite-time future singularities in $\mathcal{F}(R,G)$-gravity by taking into account higher-order curvature corrections or effects of viscous fluids.