Cosmological redshift-distance square law

Journal Article · Fri Jun 01 04:00:00 EDT 1979 · Astrophys. J., Lett.; (United States)

DOI:https://doi.org/10.1086/182962· OSTI ID:6249365

Soneira, R M

We directly examine the claims of Segal that the (m,z) Hubble diagram is fitted best by a square law z=Kr/sup 2/ rather than by the traditional Hubble law z=Hr in the low-redshift range z< or approx. =0.01, corresponding to galaxies brighter than 14th mag. Segal attempts to fit a distance relation to the (m,z) scatter diagram in which each individual galaxy is plotted. We calculate the exact relation between the mean redshift for all galaxies in a small magnitude interval m +- deltam/2 and the apparent magnitude m. Our relation is independent of luminosity function and peculiar velocity distribution about the general expansion. Also, it is not affected by sample incompleteness as a function of apparent magnitude or the clustering of galaxies in the sample. Segal's method is affected by all of these and requires a highly sophisticated statistical analysis to deal with the non-Gaussian pointwise scatter. Our analysis favors the Hubble law and conclusively rules out the square law for the small redshift region.

• Research Organization: Institute for Advanced Study, Princeton
• OSTI ID: 6249365
• Journal Information: Astrophys. J., Lett.; (United States), Journal Name: Astrophys. J., Lett.; (United States) Vol. 230:2; ISSN AJLEA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics &amp; Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGY
FUNDAMENTAL CONSTANTS
GALAXIES
HUBBLE EFFECT
LUMINOSITY
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
RED SHIFT