S. Zaroubi et Y. Hoffman, GRAVITATIONAL COLLAPSE IN AN EXPANDING UNIVERSE - ASYMPTOTIC SELF-SIMILAR SOLUTIONS, The Astrophysical journal, 416(2), 1993, pp. 410-414
The collapse and virialization of self-similar spherical density pertu
rbations 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 impro
ved here and the collapse factor of a given spherical shell is calcula
ted. Within the framework of the asymptotic behavior exact analytical
solutions are obtained.