Effects of $f (R, G)$ gravity on anisotropic charged compact objects

Abstract: The present study provides an in-depth analysis of the anisotropic matter distribution and various physical aspects of compact stars in the context of a $f(R,G)$-gravity framework. In order to gain an exhaustive understanding of these aspects, our study focuses on three particular compact stars: VELA X-1 (CS1), SAXJ1808.4-3658 (CS2), and 4U1820-30 (CS3). We conducted calculations on the relevant characteristics of these compact stars by employing three different models of $f(R,G)$-gravity. As a convenient approach, the $f(R,G)$-gravity is organized into two distinct components, which include $f_1(R)$ and $f_2(G)$. The $R$ dependent component is modeled similarly to the Hu-Sawicki approach, while for modeling the $G$ dependent component, we chose logarithmic and power law-like approaches and suggested three viable gravity models. Graphical methods are used to analyze the physical properties of the compact stars in the domain of suggested models of gravity.