Energy Conditions in $f(G)$ Modified Gravity with Non-minimal Coupling to Matter

TL;DR

This paper investigates energy conditions in a modified gravity model involving a non-minimal coupling between a function of the Gauss-Bonnet invariant and matter, aiming to understand its cosmological implications.

Contribution

It derives and applies energy conditions to a class of $f(G)$ gravity models with non-minimal matter coupling, extending previous work on cosmic acceleration and inflation.

Findings

Energy conditions are formulated for the $f(G)$ model.

Application to specific models shows consistency with cosmological parameters.

Results suggest viability of the model in describing cosmic acceleration.

Abstract

In this paper we study a model of modified gravity with non-minimal coupling between a general function of the Gauss-Bonnet invariant, $f(G)$, and matter Lagrangian from the point of view of the energy conditions. Such model has been introduced in Ref. [21] for description of early inflation and late-time cosmic acceleration. We present the suitable energy conditions for the above mentioned model and then, we use the estimated values of the Hubble, deceleration and jerk parameters to apply the obtained energy conditions to the specific class of modified Gauss-Bonnet models.