Energy Conditions in Modified $f(G)$ Gravity

TL;DR

This paper investigates modified $f(G)$ gravity models within a flat FLRW universe, focusing on their ability to address future singularities and analyzing their viability through energy conditions using recent cosmological data.

Contribution

It introduces specific $f(G)$ configurations aimed at curing future singularities and derives viability bounds based on energy conditions with current cosmological parameters.

Findings

Certain $f(G)$ models satisfy weak and null energy conditions.

Models can potentially avoid finite-time future singularities.

Viability bounds are established using recent cosmological data.

Abstract

In this paper, we have considered flat Friedmann-Lema\^{i}tre-Robertson-Walker metric in the framework of perfect fluid models and modified $f(G)$ gravity (where $G$ is the Gauss Bonnet invariant). Particularly, we have considered particular realistic $f(G)$ configurations that could be used to cure finite-time future singularities arising in the late-time cosmic accelerating epochs. We have then developed the viability bounds of these models induced by weak and null energy conditions, by using the recent estimated numerical figures of the deceleration, Hubble, snap and jerk parameters.