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

在这项工作中，我们采用了最小几何变形（MGD）方法进行重力解耦，并在f（R，  T）引力的框架下开发了著名的Tolman VII各向同性解的各向异性版本，其中R为Ricci标量和T是能量动量张量的痕迹。已针对总能量动量张量开发了一组场方程，该方程将f（R，  T）重力下的有效能量动量张量和附加源\（\ phi _ {ij} \）结合在一起。按照MGD方法，场方程组已分为两部分。一节代表f（R，  T）场方程，另一个与源\（\ phi _ {ij} \）有关。还讨论了内部和外部几何形状的匹配条件，并使用径向压力的模拟约束条件开发了各向异性解决方案。为了检查解决方案的可行性，我们考虑了三种不同的紧凑星模型PSR J1614-2230，PSR 1937 + 21和SAX J1808.4-3658的观测数据，并通过分析和图形方式讨论了热力学性质。发现三颗紧凑恒星的能量条件满足。通过因果条件和Herrera的破解概念进行了稳定性分析，从而确保了解决方案的物理可接受性。