Originally Posted by Tim Thompson

It would look like a B.S. degree in physics, with additional courses in general relativity (because gravity is general relativity) & astrophysics (because this is the primary practical application of gravity). But in fact, you would need an undergraduate degree in physics, and a graduate degree in gravity. At Cal State LA we had only one course in general relativity.

A B.S. Degree in Astrophysics from UCLA probably looks more to the point than a general physics degree (which is what I have). But they don't have specific courses in general relativity. Rather, GR shows up in the various other courses.

One of the best places to specifically study gravity might be Caltech, where they do have a graduate course in general relativity, and another in gravitational radiation.