Mathematics – Logic
Scientific paper
Oct 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...233..395o&link_type=abstract
Astrophysical Journal, Part 1, vol. 233, Oct. 15, 1979, p. 395-401.
Mathematics
Logic
48
Astronomical Models, Big Bang Cosmology, Galactic Clusters, Space Density, Universe, Density Distribution, Expansion, Halos, Inhomogeneity
Scientific paper
This paper studies the density profile that forms around a spherically symmetric bound central core immersed in a homogeneous-background k = 0 or k = -1 Friedmann-Robertson-Walker cosmological model, with zero pressure. Although the density profile in the linearized regime is almost arbitrary, in the nonlinear regime certain universal features of the density profile are obtained that are independent of the details of the initial conditions. The formation of 'halos' ('holes') with densities greater than (less than) the average cosmological density is discussed. It is shown that in most regions 'halos' form, and universal values are obtained for the slope of the ln (density)-ln (radius) profile in those 'halos' at late times, independently of the shape of the initial density profile. Restrictions are derived on where it is possible for 'holes' to exist at late times and on how such 'holes' must have evolved.
Olson Donald W.
Silk Joseph
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