Newtonian spherical gravitational collapse

Details Newtonian spherical gravitational collapse Newtonian spherical gravitational collapse

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jpha...13.3097g&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 13, Sept. 1980, p. 3097-3104. Research supported by the Natural Sciences

Astronomy and Astrophysics

Astrophysics

1

Astrophysics, Cloud Physics, Cosmic Gases, Gravitational Collapse, Newton Theory, Shear Flow, Stellar Evolution, Boundary Value Problems, Gas Flow, Hydrogen Clouds, Numerical Integration, Protostars

Scientific paper

The spherical collapse of gas clouds is reduced to quadrature by
specifying the mass function m(r, t). Exact solutions for both shearing
and shear-free flow are constructed admitting two-parameter equations of
state. A generalization of Ritter's theorem is proved which allows the
shear-free collapse of index three polytropes.

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