Gravitational decoupled anisotropic spherical solutions in f(R, T) gravity by minimal geometric deformation approach

Abstract

This article deals with the new systematic approach that is gravitational decoupling via minimal geometric deformation (MGD) approach. Here, we present the anisotropic spherical solution in f(R, T) gravity by adopting MGD approach. For this, we consider the Tolman V isotropic solution and extend it to anisotropic domain. For comprehensive results in f(R, T) theory, we assume viable model which is a linear combination of generalized Starobinsky f(R) model (Starobinsky 1980 Phys. Lett. B 91, 99) and λT (where T is the trace of T ij ). We are producing two different versions of anisotropic solution adopting two different mimic constraints. This technique helps us to find the new groups of anisotropic solutions through a single isotropic solution. We analyze the physical behavior of the anisotropic solutions through energy conditions and causality conditions. The graphical representation shows that both solutions satisfy all the energy conditions for different ranges of parameters. We conclude that both obtained models present the realistic behavior satisfying the all physical constraints and stability criterion.