Selfsimilar Perturbations of a Friedmann Universe
Abstract
The present analysis of spherically symmetric selfsimilar solutions to the Einstein equations gives attention to those solutions that are asymptotically k = 0 Friedmann at large z values, and possess finite but perturbed density at the origin. Such solutions represent nonlinear density fluctuations which grow at the same rate as the universe's particle horizon. The overdense solutions span only a narrow range of parameters, and resemble static isothermal gas spheres just within the sonic point; the underdense solutions may have arbitrarily low density at the origin while exhibiting a unique relationship between amplitude and scale. Their relevance to largescale void formation is considered.
 Publication:

The Astrophysical Journal
 Pub Date:
 September 1990
 DOI:
 10.1086/169125
 Bibcode:
 1990ApJ...360..330C
 Keywords:

 Density Distribution;
 Einstein Equations;
 Galactic Structure;
 Universe;
 Cosmology;
 Space Density;
 Spatial Distribution;
 Astrophysics;
 COSMOLOGY;
 RELATIVITY