Mathematics – Logic
Scientific paper
Nov 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mnras.197..721p&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 197, Nov. 1981, p. 721-729.
Mathematics
Logic
9
Astronomical Models, Cosmology, Perturbation Theory, Shapes, Universe, Equations Of Motion, Oblate Spheroids, Prolate Spheroids, Red Shift
Scientific paper
The effects of nonspherical shape on the evolution of cosmological perturbations in the epochs of perturbation axis reversal and the collapse of the shortest axis are considered. Equations of motion for perturbation growth along two axes are analyzed within the framework of the Einstein-de Sitter Universe for the cases of spherical perturbations, oblate spheroidal perturbations, prolate spheroidal perturbations and triaxial perturbations, and results are illustrated as a function of shape. Comparison with the spherical case reveals the aspherical shapes to have significant effects on the evolution of cosmological perturbations, causing a highly eccentric, oblate spheroidal perturbation to turn around along its minor axis at a redshift twice as large as that of an equivalent spherical perturbation, and a prolate spheroidal perturbation to turn around at a redshift 1.3 times as large. Results imply that for a given density inhomogeneity, the more disk-like oblate perturbations condense out of the Hubble flow first, followed by the more prolate perturbations and finally the more spherical perturbations.
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