Time does stop for the one approaching the black hole, to the observer watching. To the one at the edge of the event horizon, time flows seemingly normally.But it certainly doesn't flow faster than space. Therefore the perception of a moving black hole is so great that I challenge anyone to find a reputable astronomer that will deny their existence, placement, or movement.
Also, we need to consider that a black hole has mass. Therefore, it magically fits into Einstein (nice to meet you, btw) relativity theory.
Therefore(#2), Since T=D/V ,we must accept that time does not stop(formula), it exists in space(has mass), and contains a blinding amount of energy(e=mc^2). Sounds kinda plausible.
rs is the Schwarzschild radius of the black hole (the radius of the event horizon.)
r is the radial (perpendicular) distance of the traveler from the event horizon.
Now look what happens to the term on the right when rs=r.
To any observer further away from the black hole, whatever approaches the black hole would appear to freeze permanently at the instant it touched the event horizon.