I know you didnt come up with this youself,
Of course I don't. This is much older than me. There were many people who wrote nice reports and lectures on this. I learned from there and now it is my turn to transmit :p
What about that singularity... Does it actually make a rip in the fabric of space?
There is no way to know about that. The theory stops to be valid there and we actually do not know how to treat that.