[Southack]

"In this case, yes. Acceleration and gravity have the same effect on clocks. The principle of equivalence. If I'm wrong, I expect that one of the heavyweights will correct me."

I would have expected Special Relativity to deal with the kinematic effect, but that General Relativity would have dealt with the Gravitational effect.

[Quark2005]

I would have expected Special Relativity to deal with the kinematic effect, but that General Relativity would have dealt with the Gravitational effect.

SR can only deal with the kinematics of constant velocities. When accelerations or gravitational fields are involved, GR is needed; and in its framework, an accelerating reference frame and gravitational field are equivalent, just as PH stated.