Other
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.220..189m&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 220, May 1, 1986, p. 189-202.
Other
14
Galactic Clusters, Galactic Evolution, Galactic Structure, Gravitational Collapse, Anisotropic Media, Astronomical Models, Ellipsoids, Equations Of Motion, Filaments
Scientific paper
The gravitational collapse of nonrotating, homogeneous, triaxial ellipsoids is followed through and beyond the formation of a two-dimensional caustic surface ('pancake'). In previous work on this problem, 'filaments' (one-dimensional structures) correspond only to the degenerate case of collapsing prolate spheroids; all other shapes, except spheres, collapse to pancakes. In this work, it is found that, assuming dissipation or relaxation processes keep the surface relatively thin after formation, pancakes undergo further anisotropic collapse in their planes, forming either filamentary structures or more isotropic configurations which are called clusters. Filaments thus do not correspond to a degenerate case, but arise naturally from this secondary collapse phase. Some pancakes may nevertheless persist indefinitely, never undergoing the secondary collapse to a filament. However, if the initial shapes required for this behavior are compared with the initial shape distribution expected for maxima in three-dimensional Gaussian noise, it is found that long-lived pancakes should be rare, particularly for high Omega(0) values. In addition, a very simple yet powerful result on the collapse epoch of objects of a given overdensity with different initial shapes is found.
Heavens Alan F.
More J. G.
Peacock John A.
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