Isotropy, homogeneity and dipole saturation

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

1995-05-23

arxiv.org/abs/astro-ph/9505106v1

Astrophys.J. 433 (1994) 464

Astronomy and Astrophysics

Astrophysics

Figures are available under request at sylos@vxrm64.roma1.infn.it. Published on Astrophys. Jour. Part 1

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 galaxies (and clusters) catalogues, together with a monotone growth of the monopole, is an 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 non-analytic and non-homogeneous.

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