Energy conditions in f(R,A) gravity

Abstract

In this paper, we consider the framework of the newly proposed modified theory of gravity named [Formula: see text] gravity, wherein [Formula: see text] and [Formula: see text] signify the Ricci and anticurvature scalars, respectively. For our cosmic discussions, we evaluate a renowned [Formula: see text] model, incorporating various forms of the scale factor within the context of Friedmann–Robertson–Walker (FRW) spacetime. Our exploration delves into energy conditions, the effective equation of state parameter and the stability of models within the [Formula: see text] theory. These models are further elucidated through graphical representations plotted against time and their respective model constants. Notably, it is observed that scale factors with exponential terms yield more consistent results in comparison to those of power-law forms, given specific values of model constants.