标题： 可生存的虫洞解在修改的高斯-博内引力中 显示英文标题

标题： Viable Wormhole Solutions in Modified Gauss-Bonnet Gravity

摘要： 在本文中，我们使用嵌入I类技术来研究电荷对$f(\mathcal{G})$理论中可穿越虫洞几何的影响，其中$\mathcal{G}$是高斯-博内项。 为此，我们考虑静态球对称时空和各向异性物质配置以研究虫洞几何。 卡马克条件用于开发静态虫洞结构的形状函数。 利用此开发的形状函数，我们构建了一个满足所有必要约束并连接时空渐近平坦区域的虫洞几何。 为了分析可穿越虫洞几何的存在性，我们评估了该理论各种模型的能量条件行为。 这项研究揭示了在这种修改理论中存在可行的可穿越虫洞解。 显示英文摘要

摘要： In this paper, we use the embedding class-I technique to examine the effect of charge on traversable wormhole geometry in the context of $f(\mathcal{G})$ theory, where $\mathcal{G}$ is the Gauss-Bonnet term. For this purpose, we consider static spherical spacetime with anisotropic matter configuration to investigate the wormhole geometry. The Karmarkar condition is used to develop a shape function for the static wormhole structure. Using this developed shape function, we construct a wormhole geometry that satisfies all the required constraints and connects asymptotically flat regions of the spacetime. To analyze the existence of traversable wormhole geometry, we evaluate the behavior of energy conditions for various models of this theory. This study reveals that viable traversable wormhole solutions exist in this modified theory.