The typical way that I've seen Einstein's gravity expressed is by taking some spherical object, placing it into some sort of low-resistance space (like a very relaxed trampoline), and noting how it creates a funnel-like shape. Then, one proceeds to take an additional ball and spin it around the central object, thus explaining the concept of a planet's orbit.
In the trampoline example, the central object cannot completely collapse through the material. In space, however, I'm not sure that there would be any reason that the sun shouldn't continually "fall." There's nothing holding it up.
I'm sure that there is a scientific explanation for it (perhaps the black hole at the center of our galaxy is creating a funnel in space that the Sun is riding), but since I'm uneducated, I do not know it.
So, is the Sun continually falling or is it static? What processes explain it?