In this paper, we consider a new solution to discuss the physical aspects of anisotropic compact celestial bodies in the background of [Formula: see text] theory. We take static spherically symmetric metric to describe the internal region of the stellar objects and apply the embedding class-I method to get the metric solution corresponding to a specific [Formula: see text] model. By matching the interior and exterior geometries at the boundary, we find the values of unknown constants. We check the stability and viability of the resulting solution through various parameters that include energy bounds, causality condition, Herrera’s condition, role of adiabatic index, redshift and compactness factor. The graphical interpretation is done for some particular compact star candidates, i.e. LMC X-4, Cen X-3, 4U 1820-30 and Vela X-1. We conclude that our model provides physically acceptable structure of the considered compact objects and is also stable.

中文翻译：

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f(𝒢,𝒯) 重力下致密物体的各向异性解

在本文中，我们考虑在[公式：见正文]理论的背景下讨论各向异性致密天体的物理方面的新解决方案。我们采用静态球对称度量来描述恒星物体的内部区域，并应用嵌入类-I方法得到与特定[公式：见文本]模型对应的度量解。通过匹配边界处的内部和外部几何形状，我们找到了未知常数的值。我们通过各种参数检查所得解决方案的稳定性和可行性，这些参数包括能量界限、因果关系条件、Herrera 条件、绝热指数的作用、红移和紧致因子。图形解释是针对一些特定的致密候选星进行的，即 LMC X-4、Cen X-3、4U 1820-30 和 Vela X-1。