For non-Apple platforms, you have to use a different implementation of Foundation — which has pretty good but not identical coverage to Apple's one.
As a side note, it's always seemed clear to me that when Apple provides a new technology, they provide a stop-gap solution, like Carbon, for developers who, for a variety of possible reasons, may not be able or willing to use the new tech, like Cocoa.
The bridge between Objective-C and Swift has always seemed like Carbon to me.
Fortunately, unlike when Carbon was canned and rewriting for Cocoa seemed like a real chore, I don't think Apple will can the Objective-C bridge any time soon — but for Swift code now targeting or intending to target non-Apple platforms, it may be best to start thinking about migrating away from relying on the bridge now — decarbonify your Swift code.