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We obtain one family of dynamic solutions in the Einstein-Maxwell-scalar(EMS)theory. Our solutions could describe the evolving charged black(white) hole orwormhole and its transition, including the case of black bounce/wormholetransition. We compare different wormhole throat definitions and suggest thatthe usage of trapping horizons is the most suitable choice for tracking theevolution of the dynamic black(white) hole and wormhole, and their conversionin a unified framework. Then we research several evolving processes in theappropriate parameters region, including the charge, the initial condition forthe scalar hair, and parameters in our EMS Lagrangian. The results show thatthe appearance of a degenerate marginal trapped surface is the crucial eventfor the conversion or transition, particularly in these cases: i) when theevolving wormhole converts to a black hole, the surface emerges and splits intotwo trapping horizons; ii) if the metric would become a black hole but finallyfails, two trapping horizons combine as the surface and then vanish; iii) ifthe black bounce/wormhole transition happens, one single trapping horizonchanges its type.

Trapping Horizons of the Evolving Charged Wormhole and Black Bounce