> Special Relativity (non-accelerating frames of reference, i.e. moving at a constant speed)

Sorry, but this is a pet peeve of mine: special relativity works perfectly well in accelerating frames of reference, as long as the spacetime remains flat (a Minkowski space[1]), for example when any curvature caused by gravity is small enough that you can ignore it.

[1] https://en.wikipedia.org/wiki/Minkowski_space