This paper explores and analyzes a set of solutions describing the interior structure of relativistic compact stellar structures with variable cosmological constant $\Lambda (r)$ . We consider the solution of Krori–Barua space-time to a static spherical symmetric metric. Furthermore, we match our interior stellar structure with the exterior Schwarzschild geometry to determine the values of the constants used in the solution of the Krori–Barua space-time. The numerical values of these constants were determined for a set of different compact stars, and using these constants in our solutions, we have studied the viability of matter content, stability, TOV equations, and surface red-shift; and we predicted some physical aspects like central and surface densities, stresses, masses, and radii.

中文翻译：

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在 $f(\mathcal{R,T})$ 引力中具有可变宇宙常数的致密恒星

本文探索并分析了一组描述具有可变宇宙常数 $\Lambda (r)$ 的相对论致密恒星结构内部结构的解。我们考虑 Krori-Barua 时空对静态球对称度量的解。此外，我们将内部恒星结构与外部 Schwarzschild 几何相匹配，以确定 Krori-Barua 时空解中使用的常数值。这些常数的数值是为一组不同的致密星确定的，并在我们的解决方案中使用这些常数，我们研究了物质含量、稳定性、TOV 方程和表面红移的可行性；我们预测了一些物理方面，如中心和表面密度、应力、质量和半径。