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Self-Similar Gravitational Clustering

Published online by Cambridge University Press:  04 August 2017

G. Efstathiou*
Affiliation:
Institute of Astronomy, Madingley Road, Cambridge, England

Extract

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The nature of the distribution of galaxies poses a challenging problem for theorists. It seems reasonable, as a start, to suppose that galaxies and clusters arose from small perturbations by gravitational instability. However, one still has the problem of the choice of initial conditions, for example, the shape of the fluctuation spectrum and the cosmological density parameter Ω. A considerable simplification is to assume that the clustering pattern obeys some simple similarity scaling, so that the clustering at some early time, apart from a change in length scale, is statistically indistinguishable from the pattern observed today. The power-law shape of the two-point correlation function and the simple forms of higher order correlation functions (Peebles, 1980) have provided some evidence that such a simplifying assumption may be relevant - just how relevant is the subject of this article.

Type
Research Article
Copyright
Copyright © Reidel 1983 

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