This paper is devoted to studying anisotropic compact stellar structures by adopting embedding class-1 technique in the background of modified Gauss–Bonnet gravity. The unknown constants are evaluated by the matching of interior spacetime with the Schwarzschild exterior geometry corresponding to $f\left(\mathcal{G}\right)=\chi {\mathcal{G}}^n$ model, where $\chi$ and $n$ are positive constants. The observed masses of compact star candidates (SAX J1808.4-3658, Vela X-1, PSR J0348+0432, 4U 1608-52) are used with the condition of vanishing radial pressure at the stellar surface to predict their radii. We have examined viability and stability of the resulting solution through graphical behavior of matter variables, energy constraints, adiabatic index and causality condition. It is found that embedding class-1 solution for anisotropic compact stars is viable and stable in this theory.

本文致力于在改进的高斯-贝内特引力的背景下，采用嵌入1级技术研究各向异性的紧凑型恒星结构。通过将内部时空与对应于Schwarzschild外部几何体的匹配来评估未知常数$F（\mathcal{G}）=\chi {\mathcal{G}}^{ñ}$ 模型，在哪里 $\chi$ 和 $ñ$是正常数。使用观测到的紧凑恒星质量（SAX J1808.4-3658，Vela X-1，PSR J0348 + 0432、4U 1608-52），并根据恒星表面径向压力消失的情况来预测其半径。我们已经通过物质变量，能量约束，绝热指数和因果条件的图形行为检查了所得解决方案的可行性和稳定性。发现在该理论中嵌入一类各向异性紧凑星的解是可行和稳定的。