In this work, we analyse the evolution of time-dependent traversable wormhole geometries in a Friedmann–Lemaître–Robertson–Walker background in the context of the scalar–tensor representation of hybrid metric-Palatini gravity. We deduce the energy–momentum profile of the matter threading the wormhole spacetime in terms of the background quantities, the scalar field, the scale factor and the shape function, and find specific wormhole solutions by considering a barotropic equation of state for the background matter. We find that particular cases satisfy the null and weak energy conditions for all times. In addition to the barotropic equation of state, we also explore a specific evolving wormhole spacetime, by imposing a traceless energy–momentum tensor for the matter threading the wormhole and find that this geometry also satisfies the null and weak energy conditions at all times.

在这项工作中，我们在混合度量-帕拉蒂尼重力的标量-张量表示的背景下，分析了弗里德曼-莱马特-罗伯逊-沃克背景下随时间变化的可穿越虫洞几何形状的演变。我们根据背景量，标量场，比例因子和形状函数推论穿虫洞时空的物质的能量-动量分布，并通过考虑背景物质的正压状态方程来找到特定的虫洞解决方案。我们发现特殊情况始终满足零和弱能量条件。除了正压状态方程之外，我们还探索了一个特定的不断发展的虫洞时空，