This paper explores the viability and stability of compact stellar objects characterized by anisotropic matter in the framework of \(f(\textrm{Q},\textrm{T})\) theory, where \(\textrm{Q}\) denotes non-metricity and \(\textrm{T}\) represents the trace of the energy-momentum tensor. We consider a specific model of this theory to obtain explicit expressions for the field equations governing the behavior of matter and geometry in this context. Furthermore, the Karmarkar condition is employed to assess the configuration of static spherically symmetric structures. The values of unknown constants in the metric potentials are determined through matching conditions of the interior and exterior spacetimes. Various physical quantities such as fluid parameters, energy constraints, equation of state parameters, mass, compactness and redshift are graphically analyzed to evaluate the viability of the considered compact stars. The Tolman–Oppenheimer–Volkoff equation is used to examine the equilibrium state of the stellar models. Moreover, the stability of the proposed compact stars is investigated through sound speed and adiabatic index methods. This study concludes that the proposed compact stars analyzed in this theoretical framework are viable and stable, as all the required conditions are satisfied.

本文在\(f(\textrm{Q},\textrm{T})\)理论框架下探讨了以各向异性物质为特征的致密星体的可行性和稳定性，其中\(\textrm{Q}\)表示非度量性和\(\textrm{T}\)表示能量动量张量的迹。我们考虑该理论的特定模型，以获得在这种情况下控制物质和几何行为的场方程的显式表达式。此外，卡马克条件用于评估静态球对称结构的配置。度量势中未知常数的值是通过内部和外部时空的匹配条件来确定的。对流体参数、能量约束、状态方程参数、质量、致密性和红移等各种物理量进行图形分析，以评估所考虑的致密恒星的生存能力。托尔曼-奥本海默-沃尔科夫方程用于检查恒星模型的平衡状态。此外，通过声速和绝热指数方法研究了所提出的致密星的稳定性。这项研究的结论是，在这个理论框架中分析的所提出的致密星是可行且稳定的，因为满足了所有必需的条件。