Mathematics – Logic
Scientific paper
May 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aas...21441403b&link_type=abstract
American Astronomical Society, AAS Meeting #214, #414.03; Bulletin of the American Astronomical Society, Vol. 41, p.681
Mathematics
Logic
Scientific paper
The Robertson-Walker metric is often said to have the consequences that (1) the recessional velocity v of a galaxy at proper distance d obeys the Hubble law v = H d, and therefore galaxies at sufficiently great distance d are receding faster than the speed of light c (2) faster than light recession does not violate special relativity theory because the latter is not applicable to the cosmological problem, and because "space itself is receding" faster than c at great distance, and it is velocity relative to local space that is limited by c, not the velocity of distant objects relative to nearby ones; (3) we can see galaxies receding faster than the speed of light; and (4) the cosmological redshift is not a Doppler shift, but is due to a stretching of photon wavelength during propagation in an expanding universe. We present a particular Robertson-Walker metric (an empty universe metric) for which a coordinate transformation shows that none of these interpretation necessarily holds. The resolution of these seeming paradoxes of interpretation lead to a deeper understanding of the meaning of the cosmological metric.
Burns Michael Shane
Cook Richard J.
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