Ok, my first post here, but I am a Treker.
In a nut shell warp drive cheats to get around the infinite amount of power that would be needed to get to the speed of light. What warp does is create a subspace buble around the ship that pulls the ship out of normal space and time, which allows for faster than light travel. This has the added effect of sidesteping the theory of relitivity.
Eclipce