Need a bit of oomph to move the very fabric of this universe a bit. But energy conversation laws say its just then spread all over the place across time, just like ripples in pond, suspended into nothingness of its own little universe... or something
Tells me a bit darker thing in between the lines - the chance some advanced civilization (or us in far future if we actually survive) traveling FTL by bending space massively is next to zero, we would see (or detect soon) the evidence... unless they do it on planck-level of precision and self-contain all ripples. Nah, it really seems c is the ultimate barrier so far... depressing.
I don't think much else would escape the black hole environment.