This paper investigates stability of thin-shell developed from the matching of interior traversable wormhole with exterior Ayon–Beato–Garcia–de Sitter regular black hole through cut and paste approach. We employ Israel formalism and Lanczos equations to obtain the components of surface stress-energy tensor at thin-shell. These surface stresses violate null and weak energy conditions that suggest the presence of exotic matter at thin-shell. The surface pressure explains collapse as well as expanding behavior of the developed geometry. We explore stability of the constructed thin-shell through both perturbations along shell radius as well as barotropic equation of state for three appropriate values of the shape function [Formula: see text]. It is concluded that stability of thin-shell depends on the shape function, charge and cosmological constant.

中文翻译：

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可穿越虫洞周围 ABG 薄壳的稳定性

本文研究了通过剪切和粘贴方法将内部可穿越虫洞与外部 Ayon-Beato-Garcia-de Sitter 常规黑洞匹配而形成的薄壳稳定性。我们采用以色列形式主义和Lanczos方程来获得薄壳表面应力-能量张量的分量。这些表面应力违反了表明在薄壳中存在外来物质的无效和弱能量条件。表面压力解释了已开发几何结构的坍塌和膨胀行为。我们通过沿壳半径的扰动以及正压状态方程来探索构造的薄壳的稳定性，用于形状函数的三个适当值[公式：见正文]。得出结论，薄壳的稳定性取决于形函数、电荷和宇宙学常数。