We consider Lorentzian wormholes supported by a phantom field and threaded by non-trivial Yang-Mills fields, which may be regarded as hair on the Ellis wormhole. Like the Bartnik-McKinnon solutions and their associated hairy black holes, these hairy wormholes form infinite sequences, labeled by the node number k of their gauge field function. We discuss the throat geometry of these wormholes, showing that odd-k solutions may exhibit a double-throat, and evaluate their global charges. We analyze the limiting behavior exhibited by wormhole solutions as the gravitational coupling becomes large. The even-k solutions approach smoothly the Bartnik-McKinnon solutions with k/2 nodes, while the odd-k solutions develop a singular behavior at the throat in the limit of large coupling. In the limit of large k, on the other hand, an embedded Abelian wormhole solution is approached, when the throat is large. For smaller throats the extremal Reissner-Nordström solution plays a fundamental role in the limit.
Laser-chemical micro structuring offers a possibility to process particular metals nearly without any mechanical or thermal stress. The required electrolyte depends on the respective chemical composition of the specific metal. The presented results demonstrate the possibilities for laser-chemical machining of titanium, Stellite 21 and tool steel X110CrMoV82 for use in medical applications and micro tool manufacturing with respect to the engineering requirements. Furthermore, first results are shown depending on the identification of more environmentally friendly electrolytes to meet the everincreasing environmental and industrial standards.
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