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Published June 1, 1984 | Published
Journal Article Open

Self-similar gravitational collapse in an expanding universe

Abstract

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.

Additional Information

© 1984 American Astronomical Society. Received 1983 October 10; accepted 1983 December 5. Support for this research was provided by the National Science Foundation through a graduate fellowship awarded to J. A. F. and through grant 80-20005.

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