The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in $f(R,T,Q)$ gravitational theory, where $R$ is the Ricci scalar, $T$ is the trace part of energy momentum tensor and $Q\equiv R_{\alpha\beta}T^{\alpha\beta}$. In this context, we have considered locally anisotropic spherical matter distribution and calculated field equations and conservation laws. After the orthogonal splitting of the Riemann curvature tensor, we found the corresponding complexity factor with the help of structure scalars. It is seen that the system may have zero complexity factor if the effects of energy density inhomogeneity and pressure anisotropy cancel the effects of each other. All of our results reduce to general relativity on assuming $f(R,T,Q)=R$ condition.

中文翻译：

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重力变位对静力球结构复杂系数的影响

本文的目的是概括 $f(R,T,Q)$ 引力理论中静态自引力结构的复杂性定义，其中 $R$ 是 Ricci 标量，$T$ 是能量动量张量和 $Q\equiv R_{\alpha\beta}T^{\alpha\beta}$。在这种情况下，我们考虑了局部各向异性球形物质分布并计算了场方程和守恒定律。在对黎曼曲率张量进行正交分裂后，我们借助结构标量找到了相应的复杂度因子。可以看出，如果能量密度不均匀性和压力各向异性的影响相互抵消，则系统可能具有零复杂度因子。在假设 $f(R,T,Q)=R$ 条件下，我们所有的结果都归结为广义相对论。