Thanks for the replies, you guys, that pretty much answers my question. Especially the part about the nature of fields.
Thanks again for entertaining a rube like me.
Not really relevant to the question, more of a flavor text than anything. The question still remains: what would happen if you moved a black hole? Better yet, what is happening because the black holes are moving? How is space-time reacting to that movement?
Please keep in mind, I'm the ignorant...
Ignoring for the moment the plausibility of this scenario, what would happen? A black hole is the ultimate gravity well, right? In some circles, they're even considered tears in the fabric of the universe. So what would happen to that fabric if you moved the black hole?
Would it behave like...