Finch–Skea Stellar structures obeying Karmarkar condition in modified [formula omitted] gravity

Abstract

The current research addresses the composition and modeling of compact dense astrophysical objects in a renowned modified gravity namely f(G) theory, where G denotes the Gauss Bonnet term. In this respect, a family of anisotropic spherically symmetric relativistic solutions of compact objects in hydrostatic equilibrium are obtained. To solve the corresponding modified field equations, we employ the well-famed Karmarkar condition along with the Finch–Skea ansatz for one of the metric potentials. By taking the outer area as Schwarzschild metric, we expand the boundary conditions for spacetime continuity. The unknown constants, appearing in the solutions, are then assessed by using data (mass and radius) of some realistic compact stars namely SMCX-1, 4U 1728-34, 4U 1538-52, EXO 1785-248, SAXJ 1808.4-3658. Furthermore, a graphical analysis is performed for examining the physical behavior of these compact star models. We discuss several physical properties of anisotropic compact stellar structures and explore viability as well as stability of the proposed models. It is concluded that features of established models are in good agreement with the reality of compact stellar structures in the background of f(G) theory.