标题： 非度量性和物质源对各向异性球体几何的影响 显示英文标题

标题： Impact of Non-metricity and Matter Source on the Geometry of Anisotropic Spheres

摘要： 本文深入探讨了扩展对称平移引力理论对各向异性致密恒星结构的影响。通过考虑这种扩展引力的最小模型，制定了明确的场方程。基本上，达姆斯连接条件被用来确定度规系数的未知常数。我们研究了所考虑的致密恒星的一些显著特性，以验证它们在这个修改框架中的可行存在性。托尔曼-奥本海默-沃尔科夫方程评估了致密恒星的平衡状态。此外，稳定性分析是通过基于声速（与扰动在恒星内部传播有关）和绝热指数（与恒星的热力学行为有关）的方法来定义的。我们发现，在$f(\mathbb{Q}, \mathbb{T})$引力中的提议致密恒星在物理上是可行且稳定的。 显示英文摘要

摘要： This paper delves into the impact of extended symmetric teleparallel theory on anisotropic compact stellar structures. The explicit field equations were formulated by considering a minimum model of this extended gravity. Basically, the Darmois junction conditions are used to determine the unknown constants of metric coefficients. We explore some significant properties of the compact stars under consideration to check their viable existence in this modified framework. The Tolman-Oppenheimer-Volkoff equation assess the equilibrium state of the compact stars. Moreover, the stability analysis is defined by using methods based on sound speed (related to how disturbances propagate in the star) and adiabatic index (related to the thermodynamic behavior of the star). We find that the proposed compact stars in the $f(\mathbb{Q}, \mathbb{T})$ gravity are physically viable and stable.