The spatial correlation function of galaxies confronted with theoretical scenarios

Mathematics – Logic

Scientific paper

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Big Bang Cosmology, Correlation, Galactic Clusters, Spatial Distribution, Astronomical Models, Galactic Evolution, Orthogonality, Perturbation Theory, Shapes

Scientific paper

The authors study the two-point spatial correlation function of galaxies, ξ(r), in a series of numerical simulations of cosmological clustering scenarios in comparison with ξ(r) obtained from redshift samples. The evolution of ξ(r) is evaluated in new large-scale 10000-body simulations of the pancake scenarios. The observed excess of correlation in the range 2 - 10 Mpc h-1, which does not agree with a pure hierarchical clustering scenario, is reproduced in a scenario where λ = 30±5 Mpc h-1 superclusters collapse first to flat (or elongated) pancakes. The shape of ξ(r) is reproduced provided that the first pancaking occurred at z ≤ 0.5 if Ω = 1 and z < 2 if Ω0 = 0.1. This result indicates that galaxy formation preceded supercluster formation. Constraints on the spectrum of density perturbations after decoupling are obtained and the origin of such a spectrum with respect to the particles that dominate the mass of the universe is considered.

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