The redshift-distance and velocity-distance laws

Details The redshift-distance and velocity-distance laws The redshift-distance and velocity-distance laws

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...403...28h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 403, no. 1, p. 28-31.

Statistics

Computation

27

Computational Astrophysics, Cosmology, Distance, Red Shift, Universe, Astronomical Models, Hubble Constant

Scientific paper

The distinction between Hubble's linear redshift-distance z(L) law and the linear velocity-distance V(L) law that emerged later is discussed, using first the expanding space paradigm and then the Robertson-Walker metric. The z(L) and V(L) laws are theoretically equivalent only in the limit of small redshifts, and failure to distinguish between the two laws obscures the basic elementary principles of modern cosmology. The linear V(L) law (V = HL, where H(t) is the Hubble term) applies quite generally in expanding homogeneous and isotropic cosmological models, and recession velocities can exceed the velocity of light. The z(L) relation in its linear form (cz = HL), however, has no theoretical basis and can be used only in the limit of small redshifts. Possible historical reasons for the confusion between the z(L) and V(L) laws, and why both are indiscriminately referred to as Hubble's law, are discussed.

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