Gravitational Collapse in an Expanding Universe: Asymptotic Self-similar Solutions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology: Large-Scale Structure Of Universe, Cosmology: Theory, Galaxies: Formation

Scientific paper

The collapse and virialization of self-similar spherical density perturbations to a flat Einstein e 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.

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