Abstract
For pt.I see Bern Report BUTP-20 (1982). For a simple Einstein-Yang-Mills Higgs model, the author studies properties of the extreme wormhole solutions. As shown in a recent paper (1982), the values of all fields at the boundary of the hole must satisfy a system of differential equations. The author finds solutions to this system in a number of cases, among others a non-abelian family similar to the 't Hooft-Polyakov monopole. The author also proves that all solutions must be axisymmetric, and conjecture that the set of solutions which the author has found is already complete.

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