The rate of time is slower near a massive object than from some distance from that object. This is gravitational time dilation. If someone on earth and someone in a space ship some distance from earth compare their rates of time by their clocks, they both would agree that the clock on earth is ticking slower than the clock on the spaceship.
Gravity doesn't warp anything. Well...wait a minute...water has a strong gravitational pull...and here in North Texas we have problems with our Foundations because the ground moves so much, so maybe it is the gravitational pull of water warping the ground that causes the foundations to crack...hmmmm.