GRAVITATIONAL COLLAPSE IN AN EXPANDING UNIVERSE - ASYMPTOTIC SELF-SIMILAR SOLUTIONS

Citation
S. Zaroubi et Y. Hoffman, GRAVITATIONAL COLLAPSE IN AN EXPANDING UNIVERSE - ASYMPTOTIC SELF-SIMILAR SOLUTIONS, The Astrophysical journal, 416(2), 1993, pp. 410-414
Citations number
19
Categorie Soggetti
Astronomy & Astrophysics
Journal title
ISSN journal
0004637X
Volume
416
Issue
2
Year of publication
1993
Part
1
Pages
410 - 414
Database
ISI
SICI code
0004-637X(1993)416:2<410:GCIAEU>2.0.ZU;2-7
Abstract
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.