Anisotropic spherical solutions by gravitational decoupling in [formula omitted] gravity

Abstract

The aim of this paper is to obtain analytic anisotropic spherical solutions in f(R) scenario through gravitationally decoupled minimal geometric deformation technique. In this regard, we first consider the known isotropic Krori–Barua solution for f(R) Starobinsky model in the interior of the stellar system and then include the effects of two types of anisotropic solutions. The field equations are constructed by applying Krori–Barua solution and the values of unknown constants are evaluated with the help of junction conditions. We analyze the physical acceptability and stability of our resulting solutions via graphical observations of effective energy density, effective radial as well as tangential pressure, energy conditions, stability through speed of sound and adiabatic index. It is found that both solutions satisfy the stability as well as other physical requirements for specific values of anisotropic constant. We conclude that the modified theory yields more stable behavior of a self-gravitating system.