A regular method is proposed that makes it possible to obtain a new exact solution with a wormhole from any topologically trivial exact solution of the Einstein–Maxwell equations in an electrovacuum (topological dressing method). This solution has a structure similar to a thin-shell wormhole, but unlike it, it is exact and therefore does not require the presence of any other field sources. It is shown that the wormhole itself creates both gravitational and electromagnetic fields. The corresponding effective mass and effective charge are distributed over the surface of its throat and around it. Topological dressing of the Reissner–Nordström solution with zero effective mass and non-zero effective charge gives a new solution describing a traversable wormhole. It is shown that this solution is stable in the presence of external pressure.

提出了一种常规方法，可以从电真空中爱因斯坦-麦克斯韦方程的任何拓扑平凡精确解中获得新的虫洞精确解（拓扑修整方法）。该解决方案具有类似于薄壳虫洞的结构，但与它不同的是，它是精确的，因此不需要任何其他场源的存在。研究表明，虫洞本身会产生引力场和电磁场。相应的有效质量和有效电荷分布在其喉部表面及其周围。具有零有效质量和非零有效电荷的 Reissner-Nordström 解的拓扑修整给出了描述可穿越虫洞的新解。结果表明，该溶液在外部压力存在下是稳定的。