Correction of a criticism of the phenomenological quadratic redshift-distance law
Journal Article
·
· Astrophys. J.; (United States)
The claim of Soneria that his analysis ''conclusively rules out the square (redshift-distance) law for the small redshift region'' is shown to be unfounded in several respects. The central equation of the underlying theory presented, which gives the regression of redshift on magnitude, log = (p/5)m+const, is not valid in the small redshift region, or any other limited region. More specifically, when z is restricted to the region z/sub 0/ = (p/5)m+T(m), where the term T(m) is such that partialT/partialm is materially dependent on the luminosity function. Given any shape for the latter, partialT/partialm can have any value from -(p/5) to 0, as the dispersion ranges from extremely great to extremely small. The slope of the log relation may correspondingly vary from 0 to p/5, and thus need not be all indicative of the true value of the redshift-distance exponent p. Doubtful observational and statistical features of Soneria's analysis are also noted, as are some inappropriate descriptions of the analysis of which he is critical.
- Research Organization:
- Institute of Physical Science and Technology, University of Maryland, College Park
- OSTI ID:
- 6560204
- Journal Information:
- Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 258:2; ISSN ASJOA
- Country of Publication:
- United States
- Language:
- English
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