Self-similar gravitational collapse in an expanding universe

著者: J. A. Fillmore, Peter Goldreich - The Astrophysical Journal 1984 被引用: 552

We derive similarity solutions which describe the collapse of cold, collisionless matter in a perturbed Einstein-de Sitter universe. We obtain three classes of solutions, one each with planar, cylindrical, and spherical symmetry. Our solutions can be computed to arbitrary accuracy, and they follow the development of structure in both the linear and nonlinear regimes.