Investigating generalized polytropic compact objects in f(R) gravity

Abstract This paper investigates realistic anisotropic matter configurations for spherical symmetry in f ( R ) gravity. The solutions obtained from Starobinsky model are used to determine the behavior of PSR J0740+6620, PSR J0348+0432 and 4U 1608-52 with polytropic equation of state. Analysis of physical parameters such as density, pressure, and anisotropy is illustrated through graphs, and the stability of compact objects is investigated by energy and causality conditions. We will also discuss the behavior of gravitational, hydrostatic and anisotropic forces, gravitational redshift and adiabatic index. The graphical representations demonstrate the realistic valuable f ( R ) gravity models at the theoretical and astrophysical scales.