This paper examines the charged anisotropic strange stars by employing the embedding class-1 condition in the framework of $f(\mathcal{G})$ gravity. For this reason, we use MIT bag model to derive the expression of charge inside the geometry. We evaluate the unknown constants by the matching of interior spacetime with the Riessner-Nordstrom geometry. The radii are predicted for the star models like Vela X-1, 4U 1608-52, LMC X-4 and PSR J0348+0432 by using their observed masses. We check the viability and stability of the resulting solution through graphical behavior of matter components, energy constraints, adiabatic index and causality condition. It is observed that strange stars exhibit more dense behavior in the presence of charge and MIT bag model. We conclude that embedding class-1 solution shows viable and stable behavior for charged anisotropic strange stars in this theory.

中文翻译：

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$f(\mathcal{G})$ 引力中带电的各向异性奇异星

本文通过在 $f(\mathcal{G})$ 引力框架中使用嵌入类 1 条件来检查带电各向异性奇异星。出于这个原因，我们使用 MIT 袋模型来推导几何内部的电荷表达式。我们通过内部时空与 Riessner-Nordstrom 几何的匹配来评估未知常数。通过使用观测到的质量，预测了像 Vela X-1、4U 1608-52、LMC X-4 和 PSR J0348+0432 等恒星模型的半径。我们通过物质成分、能量约束、绝热指数和因果关系条件的图形行为来检查所得解决方案的可行性和稳定性。观察到在有电荷和 MIT 袋模型的情况下，奇怪的恒星表现出更密集的行为。