The self-similar evolution of holes in an Einstein-de Sitter universe

Details The self-similar evolution of holes in an Einstein-de Sitter universe The self-similar evolution of holes in an Einstein-de Sitter universe

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apjs...58....1b&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 58, May 1985, p. 1-37.

Mathematics

Logic

136

Cosmology, Galactic Clusters, Galactic Evolution, Hydrodynamics, Relativity, Shock Waves, Collisional Plasmas, Collisionless Plasmas, Density Distribution, Hubble Constant, Nonlinear Equations, Perturbation Theory, Similarity Theorem

Scientific paper

Similarity solutions have been found for the nonlinear evolution of spherical holes in an Einstein-de Sitter universe. A negative perturbation grows until it becomes a hole, which expands in a self-similar fashion, in most cases sweeping up and compressing the matter around it into a thin, dense shell. Holes compensated by an overdense shell are considered, and it is shown that the Einstein-de Sitter-Sedov solution for a cosmological blast wave gives the self-similar adiabatic flow of a collisional gas around such a hole. The corresponding solution for a collisionless gas is given, followed by a solution for a collisional gas with omega much less than one. Uncompensated holes are treated, giving solutions for a collisionless gas, a collisional gas, and for a mixture where the collisionless gas dominates. The possibility that holes may form naturally from the growth of fluctuations in a hierarchical clustering model is examined. Several processes modifying the similarity solutions are discussed.

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