Cosmic expansion is not a relativistic effect nor is it a subject of relativity in the same sense as relativistic space-time dilation. Cosmic expansion refers to the large-scale increase in distances between cosmic objects, driven by phenomena such as dark energy or anti-gravitational fields. In this view, the increase in distances between cosmic objects describes the expansion of space over time.
This is distinct from the dilation of relativistic space-time, which concerns local variations in space and time due to relative motion or gravitational fields.
Thus, the recession of galaxies due to dark energy or anti-gravitational effects is not an expansion of relativistic space-time but rather a large-scale cosmological phenomenon.
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