Perturbation of coherent largescale structure
Abstract
Linear perturbation theory on the background of a onedimensional, non linear inhomogeneous universe, described by the Zeldovich solution, is considered. Special attention is paid to perturbations inside the wall like structures, for which the exact solution is given for an Einsteinde Sitter behaviour 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 δ_0_ of the Zeldovich solution. It is shown that the component parallel to the walls is characterized by {OMEGA}^0.6^(1 + δ_0_)^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. We also give an exact solution for onedimension perturbations perpendicular to the walls.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 September 1991
 DOI:
 10.1093/mnras/252.1.132
 Bibcode:
 1991MNRAS.252..132B
 Keywords:

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