Skip to main content

THE STRUCTURE OF SINGULARITIES ARISING IN THE COURSE OF THE NEWTONIAN COLLAPSE OF THE DUST-LIKE MATTER

Buy Article:

$63.00 plus tax (Refund Policy)

Abstract:

We re-examine the spherically-symmetric collapse of the nonuniformly distributed dust-like cold matter. The necessary and sufficient condition for the shell-crossing spherical singularity arising is rigorously derived. The system of algebraic equations is obtained which determines the instant of appearance of the singular sphere and its radius. The explicit asymptotic solutions in the Eulerian variables describing the structure of the point-like central and spherical shell-crossing primordial singularities are found. Multiplication of flows arising after splitting the first shell-crossing singularity is investigated numerically.

Keywords: Collapse; Dust matter; Gravitation; Hydrodynamics; Large-scale structure of Universe

Document Type: Research Article

DOI: https://doi.org/10.1080/10556790215595

Affiliations: Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation RAS (IZMIRAN), 142190, Troitsk, Moscow region, Russia

Publication date: 2002-01-01

More about this publication?
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more