Subject: Does a black hole actually change the geometry of surrounding space?

I was discussing with my friend about faster than light travel. Theoretically, once you've reached the speed of light, mass is infinite. Since you cannot have more than infinte mass, would it be possible to change the geometry of space, supposidly like a black hole does, to where faster than light travel is possible. I wrote a statement that proves faster than light travel is impossible, but a black hole "bends" space, and I was curious if the same principal could be used in such a way as to "warp" speed could be reached.

Re: Does a black hole actually change the geometry of surrounding space?