Selfsimilar gravitational collapse in an expanding universe
Abstract
The authors derive similarity solutions which describe the collapse of cold, collisionless matter in a perturbed Einsteinde Sitter universe. They obtain three classes of solutions, one each with planar, cylindrical, and spherical symmetry. The solutions can be computed to arbitrary accuracy, and they follow the development of structure in both the linear and nonlinear regimes.
 Publication:

The Astrophysical Journal
 Pub Date:
 June 1984
 DOI:
 10.1086/162070
 Bibcode:
 1984ApJ...281....1F
 Keywords:

 Cosmology;
 Gravitational Collapse;
 Similarity Theorem;
 Universe;
 Asymptotic Properties;
 Numerical Integration;
 Particle Trajectories;
 Relativity;
 Symmetry;
 Astrophysics