A differential equation for the classical collapse problem

Details A differential equation for the classical collapse problem A differential equation for the classical collapse problem

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..56..377p&link_type=abstract

Astrophysics and Space Science, vol. 56, no. 2, July 1978, p. 377-383. Research sponsored by the Consiglio Nazionale delle Ricer

Mathematics

1

Gravitational Collapse, Mathematical Models, Asymptotic Methods, Differential Equations, Integral Equations, Singularity (Mathematics)

Scientific paper

The classical gravitational-collapse problem is analyzed on the basis of
an integral equation connecting the evolutionary time with the density
and the 'collapse function', or by an equivalent first-order nonlinear
differential equation. The general behavior of solutions is discussed,
and some particular cases are studied.

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