A Relation between Peculiar Velocity and Density Parameter\in the One-Dimensional Inhomogeneous Universe

Physics

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Scientific paper

We derive the relation between the peculiar velocity and the density parameter in a one-dimensional inhomogeneous universe for the case in which the density distribution is described by the Zeldovich solution. We find that the simple relation obtained in the linear perturbation theory holds without any correction in spite of a fully non-linear nature of the problem. We also find that the inclusion of the cosmological constant in the present context does not change the above result.

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