In this study, the structures of stars are examined using the Karmarkar condition (KC) to assess the metric components. The study also takes into account the anisotropic source of the matter distribution in the context of Modified Teleparallel Rastall Gravity (MTRG). Various values of the model parameter $\eta$ are tested by assuming different metric coefficients for the embedding spacetime. To calculate the involved model parameters, the Schwarzschild black hole solution is employed as an exterior solution. The stability and admissibility of the solutions obtained are demonstrated by analyzing some core properties of stellar objects, using observed data from established stellar models such as “PSRJ1416-2230”. It is worth noting that the results obtained in this study are physically feasible and acceptable.

在这项研究中，使用卡马克条件（KC）检查恒星的结构来评估度量成分。该研究还考虑了修正远程平行拉斯托重力（MTRG）背景下物质分布的各向异性来源。模型参数的各种值$\eta$通过假设嵌入时空的不同度量系数来测试。为了计算涉及的模型参数，采用史瓦西黑洞解作为外解。通过使用“PSRJ1416-2230”等已建立恒星模型的观测数据分析恒星物体的一些核心特性，证明了所获得解的稳定性和可接受性。值得注意的是，本研究获得的结果在物理上是可行且可接受的。