Self-similar gravitational collapse in an expanding universe

Details Self-similar gravitational collapse in an expanding universe Self-similar gravitational collapse in an expanding universe

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...281....1f&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 281, June 1, 1984, p. 1-8.

Astronomy and Astrophysics

Astrophysics

341

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

Scientific paper

The authors derive similarity solutions which describe the collapse of cold, collisionless matter in a perturbed Einstein-de 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.

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