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RUTA
Science Advisor
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As to whether or not galaxies are moving through space or space is expanding and carrying them apart, GR is indifferent. Keep in mind that GR solutions are 4D and multiple spatial foliations are possible. If you choose the spatial hypersfcs of homogeniety and isotropy as "space" in FRW cosmology, then the co-moving galaxies are not moving through "space" by definition. If you choose some other spatial hypersfc as "space," then the galaxies are moving through "space" by definition.
When it comes to telling dynamic stories with GR solutions, there are always many options.
When it comes to telling dynamic stories with GR solutions, there are always many options.