Abstract The motivation of this paper is based on the foundation of extended teleparallel gravity with matter coupling to prospect the accelerated expansion of the Universe. This theory based on the torsion scalar along with the trace term of energy stress tensor. We manipulate the spherical symmetric metric and anisotropic fluid to discuss the study of stellar structures. To interpret our research, we used the observational data of three stars. We adopt the process of parallelism of interior and exterior space-times to estimate the unspecified parameters used in the stellar discussion. Further, we discuss the stellar properties like energy density, progressive behavior of radial and tangential components of pressure, the anisotropic formation of the compact stars. We also analyze the physical presence of stars by discussing the energy conditions redshift and mass functions. We signify the stability of the system by examining the speed of sounds and EoS. We show the equilibrium of the system by analyzing the TOV equation. Finally, we show that our system in the discussion is physically stable and analytically viable.

中文翻译：

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基于嵌入法的修正重力各向异性球体研究

摘要 本文的动机是基于扩展远平行引力与物质耦合来展望宇宙的加速膨胀。该理论基于扭转标量以及能量应力张量的迹项。我们操纵球对称度量和各向异性流体来讨论恒星结构的研究。为了解释我们的研究，我们使用了三颗星的观测数据。我们采用内部和外部时空平行的过程来估计恒星讨论中使用的未指定参数。此外，我们讨论了恒星的特性，如能量密度、压力的径向和切向分量的渐进行为、致密恒星的各向异性形成。我们还通过讨论能量条件红移和质量函数来分析恒星的物理存在。我们通过检查声音和 EoS 的速度来表示系统的稳定性。我们通过分析 TOV 方程来显示系统的平衡状态。最后，我们表明我们在讨论中的系统在物理上是稳定的，并且在分析上是可行的。