Anisotropic spheres via embedding approach in f(R) gravity

This study explores the anisotropic stellar structures in the background of [Formula: see text] modified gravity, where [Formula: see text] is a Ricci scalar. To complete this analysis, we use the spherically symmetric space-time. Further, an anisotropic source of matter is used to investigate the stability of stellar structures. The embedded class-I approach is used to demonstrate the behavior of stellar structures. Schwarzschild space-time is taken as exterior space-time to calculate the values of involved parameters. The observational data of three different stars, like LMC X-4, Cen X-3, and EXO 1785-248, are taken for the current analysis. For this study, we used Starobinsky-like model [Formula: see text] for [Formula: see text] modified gravity. The stability analysis is discussed via the equation of state (EoS) parameters, Tolman–Oppenheimer–Volkoff (TOV) equation, anisotropy, etc. Graphical and analytical results are provided as viable results in [Formula: see text] gravity.