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Large-scale inhomogeneities and galaxy statisticsThe 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.
Document ID
19840050434
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schaeffer, R.
(Commissariat al'Energie Atomique, Service de Physique Theorique, Gif-sur-Yvette Essonne, France)
Silk, J.
(CNRS, Institut d'Astrophysique, Paris, France; California, University Berkeley, CA, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1984
Publication Information
Publication: Astronomy and Astrophysics
Volume: 130
Issue: 1 Ja
ISSN: 0004-6361
Subject Category
Astrophysics
Accession Number
84A33221
Funding Number(s)
CONTRACT_GRANT: NGR-05-003-578
Distribution Limits
Public
Copyright
Other

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