Existence of static wormhole solutions in f(R,A) gravity

This study explores wormhole solutions by analyzing energy conditions within the framework of $f(R,A)$ modified theory of gravity, which is derived from the inverse of the Ricci tensor. For this purpose, we consider a linear model, defined as $f(R,A)=R+\alpha A$, where $R$ denotes the Ricci scalar, $\alpha$ is the coupling parameter, and $A$ represents the anticurvature scalar. We further introduce a specific form of shape function to examine the characteristics of energy conditions for the distribution of anisotropic matter. Moreover, we examine the behavior of shape function and energy conditions for both isotropic and barotropic matter content as well. Through the selection of suitable parameter values, it has been shown that energy conditions are breached in some specified regions, indicating the existence of exotic matter. The thorough analysis confirms the presence of wormhole geometries in $f(R,A)$ gravity.