Perturbation of coherent large-scale structure

Astronomy and Astrophysics – Astronomy

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Background Radiation, Density Wave Model, Perturbation Theory, Red Shift, Universe, Cosmic Rays, Microwave Emission, Star Distribution

Scientific paper

Linear perturbation theory on the background of a 1D nonlinear inhomogeneous universe, described by the Zel'dovich solution, is considered. Special attention is paid to perturbations inside the 'wall'-like structures, for which the exact solution is given for an Einstein-de Sitter behavior of the scale factor. The nonlinear effect of the density inhomogeneity on the evolution of the peculiar velocity is written in the form of a relation between the peculiar velocity and the density parameter Omega including the correction due to the density contrast delta(0) of the Zel'dovich solution. It is shown that the component parallel to the walls is characterized by Omega exp 0.6 (1 + delta/0/) exp -0.57, whereas the background component perpendicular to the walls obeys the same relation as that in the homogeneous and isotropic background in spite of its fully nonlinear property. An exact solution for 1D perturbations perpendicular to the walls is also given.

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