The Relation between Peculiar Velocity and Density Parameter for a Class of Solutions in Newtonian Cosmology : Astrophysics and Relativity

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概要

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• 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-1inear regime of the formation of large-scale structure. We find that, despite of the solution's fully non-linear property, the Ω^<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 Ω^<0.6>-relation depend very much on the special geometrical situation.

• 理論物理学刊行会の論文
• 1991-09-25

著者

• Buchert Thomas

  Max-planck-institut Fur Astrophysik

• BILDHAUER Stefan

  Max-Planck-Institut fur Astrophysik

関連論文

• The Relation between Peculiar Velocity and Density Parameter for a Class of Solutions in Newtonian Cosmology : Astrophysics and Relativity

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