Does the Expansion of the Universe also Influence Relativistic Effects?

Question

The Universe is expanding at a pretty significant rate to that of light speed if we look far enough. Does that mean that objects who experience such high speeds due to the Expansion relative to us come into the effects of the special theory of relativity? Or are speeds due to the Expansion excluded from Relativistic Effects?

In: 3

Answer 1

The principles of relativity and the fundamental laws governing motion, matter, gravity, and time are exactly the same everywhere and affect all objects and movement.