Anisotropic spheres via embedding approach in <i>f</i>(<i>R</i>) gravity
Adnan Malik, Asifa Ashraf, Uzma Naqvi, Zhiyue Zhang
Abstract
This study explores the anisotropic stellar structures in the background of f(R) modified gravity, where R 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 f(R) = R + βR 2 for f(R) 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 f(R) gravity.