Gravitational collapse in an expanding universe: Asymptotic self-similar solutions

Saleem Zaroubi; Yehuda Hoffman

doi:10.1086/173246

Gravitational collapse in an expanding universe: Asymptotic self-similar solutions

Research output: Contribution to journal › Article › peer-review

Abstract

The collapse and virialization of self-similar spherical density perturbations to a flat Einstein-de Sitter universe is investigated and in particular the asymptotic similarity solutions. Previous calculations of Gunn and Fillmore & Goldreich of the asymptotic solutions are improved here and the collapse factor of a given spherical shell is calculated. Within the framework of the asymptotic behavior exact analytical solutions are obtained.

Original language	English
Pages (from-to)	410-414
Number of pages	5
Journal	Astrophysical Journal
Volume	416
Issue number	2
DOIs	https://doi.org/10.1086/173246
State	Published - 20 Oct 1993
Externally published	Yes

Keywords

Cosmology: theory
Galaxies: formation
Large-scale structure of universe

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10.1086/173246

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title = "Gravitational collapse in an expanding universe: Asymptotic self-similar solutions",

abstract = "The collapse and virialization of self-similar spherical density perturbations to a flat Einstein-de Sitter universe is investigated and in particular the asymptotic similarity solutions. Previous calculations of Gunn and Fillmore \& Goldreich of the asymptotic solutions are improved here and the collapse factor of a given spherical shell is calculated. Within the framework of the asymptotic behavior exact analytical solutions are obtained.",

keywords = "Cosmology: theory, Galaxies: formation, Large-scale structure of universe",

author = "Saleem Zaroubi and Yehuda Hoffman",

year = "1993",

month = oct,

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doi = "10.1086/173246",

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AU - Hoffman, Yehuda

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N2 - The collapse and virialization of self-similar spherical density perturbations to a flat Einstein-de Sitter universe is investigated and in particular the asymptotic similarity solutions. Previous calculations of Gunn and Fillmore & Goldreich of the asymptotic solutions are improved here and the collapse factor of a given spherical shell is calculated. Within the framework of the asymptotic behavior exact analytical solutions are obtained.

AB - The collapse and virialization of self-similar spherical density perturbations to a flat Einstein-de Sitter universe is investigated and in particular the asymptotic similarity solutions. Previous calculations of Gunn and Fillmore & Goldreich of the asymptotic solutions are improved here and the collapse factor of a given spherical shell is calculated. Within the framework of the asymptotic behavior exact analytical solutions are obtained.

KW - Cosmology: theory

KW - Galaxies: formation

KW - Large-scale structure of universe

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Gravitational collapse in an expanding universe: Asymptotic self-similar solutions

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