Einstein's theories of special and general relativity. Explores spacetime, gravity as curved geometry, and the relationship between mass and energy.
This covers non-rotating black holes and the Schwarzschild metric. I will probably add Kerr (rotating) black holes when I feel like it.
This is a very rough derivation of the equivalence principle using basic princples of special relativity.
This paper explores the concept of warp drives and how they can seemingly allow faster than light travel by exploiting the geometry of spacetime.