Exact rotating wormholes via Ehlers transformations

In this paper, we construct exact rotating wormholes using the Ehlers solution-generating technique. This is based on Ernst description of four-dimensional, stationary, and axially symmetric solutions Einstein-Maxwell theory. We adopt static Barcel\'o-Visser wormhole derived from Einstein-Maxwell-conformal-scalar theory as a seed demonstrate, through approach, how to two novel geometries wormholes. These correspond embedded within magnetic background. first case, rotation result dragging force (due background) acting initial wormhole, while in second it caused by electromagnetic interaction between electric charge external field. conduct comprehensive analysis geometric properties these configurations examine new features introduced rotation, such emergence ergoregions. Recent evidence suggests that incorporating slow can stabilize wormholes, rendering exact, fully particularly appealing.