Wormholes can be described as geometrical structures in space and time that can serve as connection between distant regions of the universe. Mathematically, general wormholes can be defined both on stationary as well as on dynamic line elements. However, general relativistic and evolving Lorentzian wormholes are less studied than their static wormhole counterpart. Accordingly, in this work we shall focus on some evolving wormhole geometries. Starting from a general class of spherically symmetric line element supporting wormhole geometries, we shall use the Einstein’s field equations to develop viable astatic wormhole solutions. We will also discuss various evolving wormhole solutions together with their physical significance, properties and throat energy conditions. We claim that the method discussed in this work shall be applicable for developing wormhole solutions corresponding to any general Lorentzian wormhole metric.

虫洞可以被描述为空间和时间中的几何结构，可以作为宇宙遥远区域之间的连接。在数学上，一般虫洞可以在静止和动态线元素上定义。然而，与静态虫洞对应物相比，一般相对论和进化洛伦兹虫洞的研究较少。因此，在这项工作中，我们将专注于一些不断发展的虫洞几何形状。从支持虫洞几何的一般球对称线元类开始，我们将使用爱因斯坦场方程来开发可行的非静态虫洞解。我们还将讨论各种进化的虫洞解决方案及其物理意义、特性和喉咙能量条件。