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?
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What you are talking about is called **recessional velocity**. This is not the same thing as local velocity. Special relativity applies to objects moving THROUGH space. Universal expansion is the idea of literal distances between objects getting bigger. If two objects were at rest, that means they are not moving, however expansion declares the distance between them will grow. Again, no object is moving but literal space is simply being created between them.
There are objects whose recessional velocities are greater than 3c. Does this mean SR is wrong? No. It means SR applies to local velocity.
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