 Quote by kev
"The solution is that special relativity applies only to “normal” velocities—motion through space. The velocity in Hubble’s law is a recession velocity caused by the expansion of space, not a motion through space."
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One of the first things to realize in relativity is that motion is
always relative. From that perspective the whole "motion through space" or "expansion of space" dichotomy is pretty absurd IMHO.
As to special relativity being compatible with general relativity that is only true for spacetimes without a cosmological constant.