Physics
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pthph..86..653b&link_type=abstract
Progress of Theoretical Physics, Vol. 86, No. 3, pp. 653-658
Physics
11
Cosmology, Large-Scale Structure Of Universe, Analytical Methods, Exact Solutions
Scientific paper
We derive a relation between the peculiar velocity and the density parameter for a class of inhomogeneous three-dimensional solutions for the motion of dust in the framework of Newtonian cosmology. The domain of validity of these solutions is confined to the early non-linear regime of the formation of large-scale structure. We find that, despite of the solution's fully non-linear property, the Omega(0.6) -relation obtained in linear perturbation theory holds. This is also true for the approximate ansatz of pancake theory, (the `Zel'dovich approximation'), which is formally contained in a subclass. In this sense, this paper forms a generalization of a recent paper on the one-dimensional Zel'dovich solution and shows again that the non-linear corrections of the Omega(0.6) -relation depend very much on the special geometrical situation.
Bildhauer Stefan
Buchert Thomas
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