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Title:		The large scale structure of the universe. I - General properties One- and two-dimensional models
Authors:		ARNOLD, V. I.; SHANDARIN, S. F.; ZELDOVICH, IA. B.
Affiliation:		AA(Moskovskii Gosudarstvennyi Universitet, Moscow, USSR) AC(Akademiia Nauk SSSR, Institut Prikladnoi Matematiki, Moscow, USSR)
Journal:		Geophysical and Astrophysical Fluid Dynamics, vol. 20, no. 1-2, 1982, p. 111-130.
Publication Date:		00/1982
Category:		Astrophysics
Origin:		STI
NASA/STI Keywords:		ASTRONOMICAL MODELS, BIG BANG COSMOLOGY, TWO DIMENSIONAL MODELS, UNIVERSE, ADIABATIC CONDITIONS, DENSITY DISTRIBUTION, PERTURBATION THEORY, SADDLE POINTS, SINGULARITY (MATHEMATICS)
Bibliographic Code:		1982GApFD..20..111A

Abstract

It is shown that the 'pancake' described by Zeldovich (1970) is a general feature of the evolution of what are referred to as Lagrangian systems. It is noted that pancakes are one of several kinds of generic singularity formed at the nonlinear stage of evolution of such a system. Others include a cusp, a beak-to-beak, and a swallow tail. A complete list of singularities for the one- and two-dimensional cases is given, as is a discussion of the geometrical and certain dynamical properties of each kind of singularity. This list of singularities sets forth the elements from which the large-scale structure of the universe is constructed. The scheme presented here explains the existence of the flattened superclusters, as well as the rich clusters of galaxies by themselves and their chains.

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