标题： 带有Tolman-Kuchowicz度规势的$f(T)$引力中的致密星体 显示英文标题

标题： Compact star in $f(T)$ gravity with Tolman-Kuchowicz metric potential

摘要： 采用$f(T)$引力，其中$T$是张力，我们在本文中开发了一个各向异性致密星的新模型。 Tolman-Kuchowicz（TK）度规势被用来求解场方程组。 此外，讨论了内部和外部几何的匹配条件。 我们考虑了致密星 LMC X-4 的观测数据，并通过分析热力学性质（密度、压强、状态方程参数、声速平方和平衡条件）来检验解的有效性，这些分析是通过解析和图形方式完成的。 发现该致密星满足能量条件。 通过因果条件和Herrera的裂纹概念，对当前模型进行了稳定性分析，结果证实了解的物理可接受性。 已经表明，获得的致密星内部解符合所有必要的物理标准，因此也是相关且物理上可接受的。 显示英文摘要

摘要： Employing $f(T)$ gravity, where $T$ is the torson, we have developed a new model of an anisotropic compact star in this work. Tolman-Kuchowicz (TK) metric potential has been used to solve the set of field equations. Furthermore, the matching conditions for interior and exterior geometry have been discussed. We have considered observation data of the compact star LMC X-4 and analyzed thermodynamical properties (density, pressure, equation of state parameter, square speed of sound, and equilibrium condition) analytically and graphically to test the validity of the solution. The compact star is found to meet the energy conditions. Through the causality condition and Herrera's cracking concept, the stability analysis of the present model has been presented and it confirms the physical acceptability of the solution. It has been shown that the obtained interior solutions for compact stars are consistent with all necessary physical criterions and therefore relevant as well as physically acceptable.