As for proving Einsteins theory, I have never seen anything conclusive yet. But there is a satellite up there now that is testing the theory. I have not heard of any results yet, but might shearch the net some tomorrow and try to find more info.
As for time travel, just ask John Titor about it. He has done it!
John Titor Link
It is interesting to read some of that stuff to say the least. I am confident it is 100% BS, but many of the theories referenced to have been in development of testing/experimenting by various sources.