In this paper, a significant leap forward in understanding compact stellar systems and the modified f(Q) gravity theory is achieved. The pivotal discovery lies in the successful derivation of an exact solution that fulfils the static geometry and spherical symmetry criteria, permitting the study of compact stellar configurations with an anisotropic fluid. The model is rigorously tested and satisfies the vital physical conditions within the stellar fluid, guaranteeing its viability. The numerical values of constant parameters have been calculated by using the observational data of the compact star, namely, Her X-1. The equi-mass contours highlight an impressive correlation between the f(Q) gravity parameters. Boosting α while keeping β fixed and concurrently boosting R leads to a significant global boost in mass distribution. This can be ascribed to the enhanced coupling arising from a higher α, which broadens the mass distribution. In addition, the larger object size arising from the rise in R allows for more mass accommodation. Therefore, raising both R and α leads to an exaggerated mass distribution, proving the combined influence of coupling strength and object size on total mass. Altogether, this investigation advances our knowledge of compact stellar systems and supports the evolution of the modified f(Q) theory of gravity, opening the way for more breakthroughs in this field.

中文翻译：

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线性 f(Q) 作用中的各向异性致密星

在这篇论文中，在理解致密恒星系统和修改后的恒星系统方面取得了重大飞跃F（问）重力理论得以实现。关键的发现在于成功推导了满足静态几何和球对称标准的精确解，从而可以研究具有各向异性流体的致密恒星构型。该模型经过严格测试，满足恒星流体内的重要物理条件，保证了其可行性。利用致密星Her X-1的观测数据计算了常数参数的数值。等质量轮廓突出了两者之间令人印象深刻的相关性F（问）重力参数。提升α同时保持β固定和同时升压右导致全球大众发行的显着增长。这可以归因于更高的耦合产生的增强α，这拓宽了质量分布。此外，由于物体尺寸的增加而导致物体尺寸变大。右允许更多的大众住宿。因此，同时提高右和α导致夸大的质量分布，证明了耦合强度和物体尺寸对总质量的综合影响。总而言之，这项研究增进了我们对致密恒星系统的了解，并支持了修改后的恒星系统的演化F（问）引力理论，为该领域的更多突破开辟了道路。