Does Stephen Hawking conclusively prove Black holes exist,and how?

Answer 1

What Hawking (with Penrose) proved was that black holes are a feature of all solutions to Einstein's equations of gravity. In other words, he proved that black holes cannot be avoided in some collapsing objects.

Answer 2

The way to conclusively prove black holes exist is to find some. And, they have.

Answer 3

I THINK THAT IT WAS EINSTAIN THE ONE WHO POSTED THE IDEA, MR HAWKING POSTED A THEORY TO PROBE IT, AND HE POSTED THE INTERESTING THEORY OF THE INFORMATION LOSS, WICH WAS WRONG BUT IT WAS A COOL ONE