Isotropy, homogeneity, and dipole saturation

Details Isotropy, homogeneity, and dipole saturation Isotropy, homogeneity, and dipole saturation

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...433..464s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 433, no. 2, p. 464-467

Astronomy and Astrophysics

Astronomy

14

Cosmology, Dipoles, Fractals, Galactic Clusters, Homogeneity, Isotropy, Monopoles, Universe, Astronomical Catalogs, Infrared Astronomy Satellite, Mass Distribution

Scientific paper

A distribution of points that satisfies the property of local isotropy is not necessarily homogeneous: homogeneity is implied by the condition of local isotropy together with the assumption of analyticity or regularity. Here we show that the evidence of dipole saturation in catalogs of galaxies (and clusters), together with a monotone growth of the monopole, is evidence of isotropy but not of homogeneity. This is fully compatible with a fractal structure which has the property of local isotropy, but it is nonanalytic and nonhomogeneous.

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