Statistics – Computation
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414...20z&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 414, no. 1, p. 20-29.
Statistics
Computation
9
Cosmology, Galactic Clusters, Hubble Constant, Perturbation Theory, Spherical Harmonics, Computational Astrophysics, Digital Simulation, Universe
Scientific paper
The general formalism of the second-order perturbation theory expanded in spherical harmonics is developed and applied to study the evolution of single localized perturbations to an otherwise flat Einstein-de Sitter universe. A simple analytical form of the radial dependence of the various harmonics is employed to model the structure expected for a scale-free Gaussian perturbation field. At the inner part, i.e., the core, the dynamics is found to be dominated by the monopole term to reproduce the exact spherical top-hat model. The outer region, i.e., the halo, is dominated by the quadrupole terms, and its dynamics differs significantly from the top-hat model. Considerable growth is found for typical values of parameters, and this is argued to be the main dynamical factor in the formation of filaments in the large-scale structure of the universe.
Hoffman Yehuda
Zaroubi Saleem
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