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Published June 1, 1984 | Published
Journal Article Open

Self-similar spherical voids in an expanding universe

Abstract

We derive similarity solutions which describe the evolution of spherically symmetric voids in a perturbed Einstein-de Sitter universe filled with cold, collisionless matter. The character of a solution depends upon the profile of the initial density deficit. Gradual perturbations give rise to holes within which the density rises smoothly to the background value. Steep perturbations result in voids bounded by overdense shells with sharp edges, i.e., collisionless gravitational shocks.

Additional Information

© 1984 American Astronomical Society. Received 1983 October 24; accepted 1983 December 5. J. A. F. would like to thank James Binney for a helpful discussion. Support for this research was provided by the National Science Foundation through a graduate fellowship to J. A. F. and through grant 80-20005.

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Published - 1984ApJ___281____9F.pdf

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