We study the Magnetized Strange Quark Matter (MSQM) solutions for Bianchi type-I universe in the two models of modified gravity $f(R,T)$ in presence of variable cosmological term $\Lambda =\Lambda \left(t\right)$. The models are characterized by the functions of the forms $f(R,T)=\left(R+2\mu T\mathrm{and}\mu (R+T)\right)$ based on the plausible relations. The results indicate that, although the magnetic flux (as a byproduct of the models) does not appear, the models can exhibit de-Sitter like manifestations or situations resembling the cosmological standard model in the early or late times of the universe evolution. Some physical aspects of models are also discussed.

中文翻译：

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各向异性宇宙学修正引力中带宇宙项的磁化奇夸克模型

我们研究了两种修正引力模型中 Bianchi I 型宇宙的磁化奇异夸克物质( MSQM ) 解$F(\mathrm{电阻},吨)$ 在存在可变宇宙学术语的情况下 $\Lambda =\Lambda \left(吨\right)$. 这些模型的特点是形式的功能$F(\mathrm{电阻},吨)=\left(\mathrm{电阻}+2\mu 吨\mathrm{和}\mu (\mathrm{电阻}+吨)\right)$基于似是而非的关系。结果表明，虽然磁通量（作为模型的副产品）没有出现，但模型可以在宇宙演化的早期或晚期表现出类似于宇宙学标准模型的类似 de-Sitter 的表现或情况。还讨论了模型的一些物理方面。