An asymptotic self-similar solution for the gravitational collapse

Details An asymptotic self-similar solution for the gravitational collapse An asymptotic self-similar solution for the gravitational collapse

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...207...24b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 207, no. 1, Dec. 1988, p. 24-36.

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Computational Astrophysics, Gravitational Collapse, Polytropic Processes, Star Formation, Astronomical Models, Computerized Simulation, Dynamic Stability, Stellar Cores

Scientific paper

The paper proposes a complete self-similar solution pertaining to the gravitational collapse of polytropic systems, which exhibits an homogeneous core surrounded by an extended envelope. This solution is valid for gamma in the range of 1 to 4/3. It is shown numerically that this solution actually describes the asymptotic evolution of a polytropic collapsing gas cloud in a constant pressure environment. The stability of the dynamical self-similar solution has been investigated both analytically and numerically. The nonlinear evolution of perturbations results in the formation of either a dense core or a massive dense shell, according to the initial conditions.

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