Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...130..131s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 130, no. 1, Jan. 1984, p. 131-142.
Astronomy and Astrophysics
Astrophysics
5
Cosmology, Galactic Clusters, Galactic Evolution, Adiabatic Conditions, Correlation, Density Distribution, Fluctuation Theory, Moment Distribution, Red Shift, Statistical Analysis
Scientific paper
The density fluctuations associated with the formation of large-scale cosmic pancake-like and filamentary structures are evaluated using the Zel'dovich approximation for the evolution of nonlinear inhomogeneities in the expanding universe. It is shown that the large-scale nonlinear density fluctuations in the galaxy distribution due to pancakes modify the standard scale-invariant correlation function xi(r) at scales comparable to the coherence length of adiabatic fluctuations. The typical contribution of pancakes and filaments to the J3 integral, and more generally to the moments of galaxy counts in a volume of approximately (15-40 per h Mpc)exp 3, provides a statistical test for the existence of large scale inhomogeneities. An application to several recent three dimensional data sets shows that despite large observational uncertainties over the relevant scales characteristic features may be present that can be attributed to pancakes in most, but not all, of the various galaxy samples.
Schaeffer Richard
Silk Joseph
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