No it isn't. Hawking has never ever been associated with any physics that has ever been proven to be correct. If you beg to differ, list his achievements. He's a media darling, but amongst the physics community he is not nearly as popular as he is in the popscience press. But GR does have a lot to say about gravitational time dilation, which goes infinite at the event horizon. That means events down there take an infinite coordinate time to occur. So they haven't occurred yet, and they never ever will. Hawking radiation totally ignores this.