The purpose of this work is to present stellar models for anisotropic matter distribution in the framework of f(T) gravity with torsion scalar T. In this regard, we use the interior geometry of Tolman–Kuchowicz spacetime having the potential components of the form ψ = Br2 + 2ln C and χ =ln(1 + ar2 + br4), where a, b, B and C are constants which have been evaluated with the aid of matching conditions on the surface of interior and exterior spacetimes. Off-diagonal tetrad is used to obtain the modified Field Equations (FEs). We use power law of f(T) gravity to get all the physical parameters such as principal stresses, density. We discuss anisotropy of the system and its effects on the system. The physical analysis is also presented by measuring speeds of sound, equilibrium conditions, energy conditions and redshift, etc. We choose some compact star models to present graphical description of the solution.

中文翻译：

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具有 Tolman-Kuchowicz 时空的 f(T) 重力各向异性致密恒星模型

这项工作的目的是在以下框架内提出各向异性物质分布的恒星模型F(吨)具有扭转标量的重力吨. 在这方面，我们使用 Tolman-Kuchowicz 时空的内部几何，它具有形式的潜在组件ψ = 乙r2 + 2ln C和χ =ln(1 + 一种r2 + br4)， 在哪里一种,b,乙和C是借助内部和外部时空表面上的匹配条件进行评估的常数。非对角四分体用于获得修正的场方程 (FE)。我们使用幂律F(吨)重力以获得所有物理参数，例如主应力，密度。我们讨论了系统的各向异性及其对系统的影响。物理分析还通过测量声速、平衡条件、能量条件和红移等来呈现。我们选择一些紧凑的恒星模型来呈现解的图形描述。