Ellipsoidal Collapse and Previrialization
Author(s) -
Antonino Del Popolo,
E. N. Ercan,
Zicheng Xia
Publication year - 2001
Publication title -
the astronomical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.61
H-Index - 271
eISSN - 1538-3881
pISSN - 0004-6256
DOI - 10.1086/321137
Subject(s) - ellipsoid , density contrast , physics , perturbation (astronomy) , shear (geology) , conjecture , metric expansion of space , angular momentum , classical mechanics , mechanics , cosmology , mathematics , geology , astrophysics , petrology , astronomy , dark energy , pure mathematics , quantum mechanics
We study the non-linear evolution of a dust ellipsoid,embedded in a Friedmannflat background universe, in order to determine the evolution of the density ofthe ellipsoid as the perturbation to it related detaches from general expansionand begins to collapse. We show that while the growth rate of the densitycontrast of a mass element is enhanced by the shear in agreement with Hoffman(1986a), the angular momentum acquired by the ellipsoid has the right magnitudeto counterbalance the effect of the shear. The result confirms theprevirialization conjecture (Peebles & Groth 1976; Davis & Peebles 1977;Peebles 1990) by showing that initial asphericities and tidal interactionsbegin to slow down the collapse after the system has broken away from thegeneral expansion
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