Cosmological isotropic coordinates with equal local meter sticks.

Details Cosmological isotropic coordinates with equal local meter sticks. Cosmological isotropic coordinates with equal local meter sticks.

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998hadj...21..551c&link_type=abstract

Hadronic J., Vol. 21, No. 5, p. 551 - 565

Physics

Hubble Law: Cosmology, Robertson-Walker Metric: Cosmology

Scientific paper

The Robertson-Walker (RW) metric implies a Hubble law with recession speed ν also exceeding the light speed c as a consequence of meter sticks variable with distance if they are locally fixed, according to the comoving coordinates, to the local receding galaxy. A new metric with constant meter sticks, hence with ν ≤ c, is given using both special relativity (when Ω = ρ/ρc = 0, where ρ and ρc are the average and critical densities of the universe, respectively) and general relativity (when Ω ≠ 0). The meter sticks attached to the receding galaxies appear as Lorentz contracted (as must be) in the new metric if observed from the origin. By the new metric the redshift z is only due to the Doppler effect when Ω = 0 and to GR effects when Ω ≠ 0.

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