Statistics – Computation
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.264.1003b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 264, p. 1003
Statistics
Computation
3
Gravitational Collapse, Cosmology, Accretion Disks, Asymptotic Properties, Numerical Stability, Computational Astrophysics
Scientific paper
In response to the widespread distribution of sheets of galaxies in the universe we present self-similar solutions for the problem of the collapse of axisymmetric flat distributions of matter in Newtonian gravity. All systems are self-gravitating and have infinite mass. A semianalytic approach for solving the equations of motion is used, and the asymptotic limits of the solutions are tabulated. As the central region of the planar distribution converges to the origin, the length scale shrinks to zero, a point mass forms, and the solutions continue with a growing point mass dominating an enlarging region of the self-similar accretion flow. If time is reversed, this solution is interpreted as an exploding point mass: matter is scattered in a plane and escapes to infinity. When the point mass of the solution is made bigger, the system first expands, then turns around and recollapses at the origin. Solutions are given for the similar problem of a planar distribution of 'rods' collapsing into a line.
Boily Christian
Lynden-Bell Donald
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