This manuscript examines how effective matter variables influence the geometry of compact stellar objects with anisotropic matter configuration in modified $f(\mathbb{R},\phi ,\chi )$ gravity, where $\mathbb{R}$ represents the Ricci scalar, $\phi$ is the scalar field and $\chi$ is a kinetic term depending on the scalar field. The unknown constants in the metric potentials are determined by the smooth matching of an interior region with the exterior spacetime. We then check the viability of some selected stars through various physical quantities, i.e., effective matter contents, anisotropy and energy constraints. We also examine the equilibrium and stable states through the Tolman–Oppenheimer–Volkoff equation and sound speed/adiabatic index, respectively. This comprehensive analysis ensures that viable and stable compact stars exist in this modified theory as all the necessary conditions are satisfied.

本手稿研究了有效物质变量如何影响具有各向异性物质构型的致密恒星物体的几何形状$F（\mathbb{右},\phi ,\chi ）$重力，其中$\mathbb{右}$代表 Ricci 标量，$\phi$是标量场并且$\chi$是取决于标量场的动力学项。度量势中的未知常数由内部区域与外部时空的平滑匹配确定。然后，我们通过各种物理量（即有效物质含量、各向异性和能量约束）检查一些选定恒星的生存能力。我们还分别通过托尔曼-奥本海默-沃尔科夫方程和声速/绝热指数检查平衡状态和稳定状态。这种综合分析确保了在满足所有必要条件的情况下，该修正理论中存在可行且稳定的致密星。