This paper is devoted to present new definition of complexity factor for static cylindrically symmetric matter configurations in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity. For this purpose, we have considered irrotational static cylindrical spacetime coupled with a locally anisotropic relativistic fluid. After formulating gravitational field and conservation equations, we have performed orthogonal splitting of the Riemann curvature tensor. Unlike GR (for spherical case) the one of the structure scalars $X_{TF}$, has been identified to be a complexity factor. This factor contains effective forms of the energy density, and anisotropic pressure components. Few peculiar relations among complexity factor, Tolman mass and Weyl scalar are also analyzed with the modified $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ corrections.

本文致力于提出静态圆柱对称物质构型的复杂性因子的新定义。 $F（\mathrm{[R}，Ť，{\mathrm{[R}}_{\mu \nu }{Ť}^{\mu \nu }）$重力。为此，我们考虑了非旋转静态圆柱时空以及局部各向异性相对论流体。在制定了引力场和守恒方程后，我们对黎曼曲率张量进行了正交分裂。与GR（对于球形情况）不同，结构标量之一$X_{ŤF}$已被确定为复杂度因素。该因子包含能量密度和各向异性压力分量的有效形式。改进后的模型还可以分析复杂度因子，托尔曼质量和韦尔标量之间很少有的特殊关系。$F（\mathrm{[R}，Ť，{\mathrm{[R}}_{\mu \nu }{Ť}^{\mu \nu }）$ 更正。