An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

In this work, we have adopted gravitational decoupling by minimal geometric deformation (MGD) approach and developed an anisotropic version of well-known Tolman VII isotropic solution in the framework f(R, T) gravity, where R is Ricci scalar T trace energy momentum tensor. The set field equations has been with respect to total tensor, which combines effective tensor gravity additional source $$\phi _{ij}$$ . Following MGD approach, separated into two sections. One section represents equations, while other related matching conditions for inner outer geometry also discussed, using mimic constraint radial pressure. order check viability solution, considered observation data three different compact star models, named PSR J1614-2230, 1937+21 SAX J1808.4-3658, discussed thermodynamical properties analytically graphically. are found be satisfied stars. stability analysis presented through causality condition Herrera’s cracking concept, ensures physical acceptability solution.