SELF-SIMILAR PLANAR NEWTONIAN COLLAPSE

Citation
Os. Ventura et Jps. Lemos, SELF-SIMILAR PLANAR NEWTONIAN COLLAPSE, Monthly Notices of the Royal Astronomical Society, 290(2), 1997, pp. 209-215
Citations number
17
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
00358711
Volume
290
Issue
2
Year of publication
1997
Pages
209 - 215
Database
ISI
SICI code
0035-8711(1997)290:2<209:SPNC>2.0.ZU;2-T
Abstract
In this work, two different classes of planar solutions for cold dust are analysed within the Newtonian framework. The first class contains planar collapsing solutions for a general set of self-similar initial conditions extending, in this way, Penston's original results. The sec ond class consists of solutions obtained without prescribing any initi al conditions. In both classes, the solutions exhibit shell-crossing o utside the plane of symmetry. The range of validity for both classes o f solutions is then presented.