This paper studies the evolutionary mechanism of the relativistic spherically symmetric spacetime who is coupled with both radiating and non-radiating matter content in $f(R,T)$ gravity. This modeled system is assumed to obey the constraint of minimal complexity having areal radius velocity to be proportional to the areal radius, i.e., quasi-homologous condition. The corresponding few exact analytical solutions are examined with some realistic background. Our few models described the emergence of Minowskian cavity around the center of the relativistic spherical structure. We also calculated the structure scalars in modified gravity that are gained by splitting the Riemann tensor orthogonally. The structure scalar $Y_{TF}^{eff}$ is found to the complexity factor. Various realistic applications of our calculated models in relativistic astrophysics are described.

本文研究了相对论球对称时空与辐射和非辐射物质含量耦合的演化机制。 $F(\mathrm{电阻},吨)$重力。假定该建模系统服从具有面半径速度与面半径成比例的最小复杂性的约束，即准同源条件。在一些现实背景下检查了相应的几个精确解析解。我们的几个模型描述了在相对论球形结构中心周围出现米诺夫斯基空腔。我们还计算了通过正交分裂黎曼张量获得的修正引力中的结构标量。结构标量${是}_{吨F}^{\mathrm{电子}FF}$找到复杂性因子。描述了我们的计算模型在相对论天体物理学中的各种实际应用。