Can black holes ever really form?

On my live video chat the other day, I was asked a very cool question: if time slows down as you approach a black hole, how can they ever really form? Won't they slow down to zero before they can actually be created? I recorded my answer and put it on YouTube. Sorry about the jumpiness, but this was recorded off the live stream and the connection was laggy. I love answering questions, so drop by the next time I do a live chat, and maybe yours will make it into the video!