Solar sails! Because i'm certain other people skimmed my previous post cos it was a wall of text explaining the principle, in essence you use photons from the sun/any star as endless acceleration to lightspeed.
Heh, Perhaps, but we don't have much, if any, concrete data on space. Thus we only have the mathematical stuff that's been developed thus far.
Most physicists don't believe in "true FTL" but they do believe wormhole or subspace type FTL is possible, though our understanding is still, very limited. For the beginning of space travel, we will most likely be using simple Combustion/Fission based travel systems until we either discover ways to make Fusion, or we discover new properties of the universe.
And einstiens equation was to prove that Light speed(C) was the "Speed limit" in space, or in other words, nothing can go faster, and things, such as gravity, happen at near lightspeed.(Such as if the sun winked out, Earth wouldn't just start randomly flying away, we'd be in our orbit for 8 minutes until the last ray of sunlight hit before we went out of whack.)