Abstract
At the present time the distribution of matter in the universe is highly inhomogeneous (there are planets, the sun, stars, galaxies, clusters of galaxies and so on). Astrophysicists nowadays think that in the early stages of the development of the universe there was no such inhomogeneity. How did it come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent to the analysis of the formation of singularities of caustics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliographical Comments
Ya. B. Zeldovich: Gravitational instability: an approximate theory for large density perturbations. Astron. Astrophys. 5 (1970), 84–89.
V. I. Arnol’d, S. F. Shandarin, Ya. B. Zeldovich: The Large Scale Structure of the Universe I. General properties. One and Two-Dimensional Models. Geophys. Astrophys. Fluid Dyn. 20 (1982), 111–130.
V. I. Arnol’d: Restructurings of singularities of potential flows in a collision-free medium and metamorphoses of caustics in three-dimensional space (in Russian). Tr. Semin. Im. I. G. Petrovskogo 8 (1982), 21–57.
V. I. Arnol’d: Some Algebro-Geometrical Aspects of the Newton Attraction Theory, in: Arithmetic and Geometry II: Geometry. Prog. Math. 36, Birkhäuser, Boston 1983, 1–3.
S. F. Shandarin, Percolation theory and cellular structure of the universe (in Russian). Preprint, Inst. Appl. Math., USSR Academy of Sciences, 1982 nl 37, 1982, 1–15.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Arnold, V.I. (1986). The Large-Scale Distribution of Matter in the Universe. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96937-9_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-96937-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16199-8
Online ISBN: 978-3-642-96937-9
eBook Packages: Springer Book Archive