Dynamical equations of asymmetric thin shell wormholes connecting two different spacetimes by applying the cut and paste technique are constructed. The linear stability with variable modified generalized Chaplygin gas (VMGCG) equation of state, where the pressure will be a function of both radius and density, is investigated. This formalism is applied to two specific cases of asymmetric wormhole of a Schwarzschild connected to Reissner–Nordström spacetime and Reissner–Nordström connected to Schwarzschild–De Sitter (SDS) spacetime.

中文翻译：

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具有可变状态方程的非对称薄壳虫洞的稳定性

应用剪切和粘贴技术，构建了连接两个不同时空的不对称薄壳虫洞的动力学方程。研究了可变修正广义 Chaplygin 气体 (VMGCG) 状态方程的线性稳定性，其中压力将是半径和密度的函数。这种形式主义适用于与 Reissner-Nordström 时空相连的 Schwarzschild 的不对称虫洞和与 Schwarzschild-De Sitter (SDS) 时空相连的 Reissner-Nordström 的两个特定情况。