Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002a%26at...21..197k&link_type=abstract
Astronomical and Astrophysical Transactions, vol. 21, Issue 4, p.197-216
Astronomy and Astrophysics
Astrophysics
Scientific paper
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.
Koutvitsky Vladimir A.
Maslov Eugene M.
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