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The local redshift-distance relation and spatial uniformity.

I E Segal1

  • 1Massachusetts Institute of Technology, Cambridge, MA 02139.

Proceedings of the National Academy of Sciences of the United States of America
|September 1, 1987
PubMed
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This study revises the redshift-distance relation, questioning the local extragalactic spatial uniformity hypothesis. It finds the Lundmark law fits better than the Hubble law when galaxy luminosity function estimations are refined.

Area of Science:

  • Astronomy
  • Cosmology

Background:

  • The redshift-distance relation is crucial for understanding cosmic expansion.
  • Previous studies, like Salpeter and Hoffman (1986), have analyzed this relation.
  • Assumptions in data analysis can significantly impact model fitting.

Purpose of the Study:

  • To critically evaluate the methodology and conclusions of Salpeter and Hoffman's review.
  • To re-examine the fit of the Hubble and Lundmark laws using refined data analysis.
  • To assess the validity of the local extragalactic spatial uniformity hypothesis.

Main Methods:

  • Re-analysis of the redshift-distance relation data presented by Salpeter and Hoffman.
  • Elimination of a specific approximation in the galaxy luminosity function estimation.

Related Experiment Videos

  • Application of a statistically optimal procedure using precise redshift values.

    • Main Results:

    • The hypothesis of local extragalactic spatial uniformity, as used in the reviewed study, is found to be logically inconclusive.
    • When a rough approximation in galaxy luminosity function estimation is removed, the Lundmark law shows a closer fit than the Hubble law.
    • Reversing the approximation of using a single redshift for a range of galaxies changes the relative fit, favoring the Lundmark law.

    Conclusions:

    • The original analysis by Salpeter and Hoffman contains flaws, particularly regarding the spatial uniformity assumption.
    • Refined data analysis suggests the Lundmark law may provide a better description of the redshift-distance relation than the Hubble law under certain conditions.
    • Accurate redshift measurements and appropriate statistical methods are essential for reliable cosmological modeling.