This article is based on the extension of Teleparallel Theory named f(τ,T) gravity, where the notions τ and T abbreviate the torsion trace term of the energy–momentum tensor. This study aims to explore the anisotropic outcomes of the V elaX − 1 model. We use the field equations drawn by using the spherical symmetry, including the torsion trace term. The major components grr and gtt, of spherical symmetric space-time are obtained by inducing the Karmarkar condition. We can obtain the values of the involved parameters c,P, Q in this study by matching the interior spherical metric with the exterior Schwarzschild’s solutions of the Einstein field equations. To explore the stability of the stellar objects predicted by our study, we study the properties like metric potentials, energy density, pressures, anisotropy, gradients, EoS, energy conditions, the behavior of forces, sound speeds, adiabatic index, redshift, mass function, and compactification by graphical analysis in the background of f(τ,T) gravity.

中文翻译：

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V elaX − 1 模型在 f(τ,T) 重力下的嵌入式内部解决方案

本文基于 Teleparallel Theory 的扩展名为F(τ,吨)重力，其中的概念τ和吨简写能量-动量张量的扭转迹项。本研究旨在探讨各向异性结果五 el一种X - 1模型。我们使用通过使用球对称性绘制的场方程，包括扭转轨迹项。主要组成部分Grr和G吨吨, 的球对称时空是通过引入 Karmarkar 条件得到的。我们可以得到所涉及参数的值C,磷,问在这项研究中，通过将内部球面度量与爱因斯坦场方程的外部 Schwarzschild 解相匹配。为了探索我们研究预测的恒星物体的稳定性，我们研究了度量势、能量密度、压力、各向异性、梯度、EoS、能量条件、力的行为、声速、绝热指数、红移、质量函数等性质，并在后台通过图形分析进行紧化F(τ,吨)重力。