$f(R,T,R_{μν}T^{μν})$引力下带电天体复杂性的度量
The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{μν}T^{μν})$ Gravity
摘要：
本文研究了一个包含非理想物质和电磁场性质的圆柱形自引力系统中的不规则性。对于$f(R,T,Q)$理论，其中$R$表示Ricci标量，$T$表示物质应力-能量张量的迹，而$Q\equiv R_{γδ}T^{γδ}$表示物质应力-能量张量的迹，研究了包含电荷、质量函数和超曲面上的Darmois结条件的场方程.采用Herrera \cite{herrera2018new}提出的新的复杂性定义，通过对Riemann曲率张量的正交分裂进行详细分析，将其推广到$f(R,T,Q)$理论中的静电荷柱对称情形.有效标量之一，$Y_{TF}$，已被认为是一个复杂性因素。该因子由流体的某些物理成分组成，例如能量密度的不规则性、局部压力各向异性和电荷（以特定方式排列）。此外，通过建立复杂性因子、Weyl标量和Tolman质量之间的关系，考察了修正引力的额外曲率项的影响。
英文摘要：
In this paper, we investigate irregularities in a cylindrical self-gravitating system which contains the properties of an imperfect matter and electromagnetic field. For $f(R,T,Q)$ theory, in which $R$ represents the Ricci scalar and $T$ shows the trace of matter stress-energy tensor while $Q\equiv R_{γδ}T^{γδ}$, the field equations containing electric charge, mass functions and Darmois junction conditions at the hypersurface are examined. We have adopted new definition of complexity introduced by Herrera \cite{herrera2018new}, generalized it for the static charged cylindrically symmetric case in $f(R,T,Q)$ theory by performing a detailed analysis on the orthogonal splitting of the Riemann curvature tensor. One of the effective scalars, $Y_{TF}$, has been recognized as a complexity factor. This factor is comprised of certain physical components of the fluid such as irregularity in energy density, locally pressure anisotropy and electric charge (arranged in a specific way). In addition, the effects of extra curvature terms of modified gravity are examined by making the relations among the complexity factor, Weyl scalar and Tolman mass.
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