The fractal distribution of galaxies and the transition to homogeneity

Details The fractal distribution of galaxies and the transition to homogeneity The fractal distribution of galaxies and the transition to homogeneity

1998-12-07

arxiv.org/abs/astro-ph/9812132v2

Astrophys. J. 522 (1999) L5

Astronomy and Astrophysics

Astrophysics

10 pages, 2 large PS figures, AAS macros. Substantial additions as regards the implications for cosmology, including the prosp

Scientific paper

10.1086/312204

There is an ongoing debate in cosmology about the value of the length scale at which ``homogeneity'' in the matter distribution is reached or even if such a scale exists. In the wake of this debate, we intend in this letter to clarify the meaning of the statement transition to homogeneity and of the concept of correlation length. We show that there are two scales each associated to the fractal and to the homogeneous regimes of the matter distribution, respectively. The distinction between both scales has deep consequences, for there can be a regime which despite having small fluctuations around the average density exhibits large clusters of galaxies.

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