The Eleventh Marcel Grossmann Meeting
DOI: 10.1142/9789812834300_0402
Oxford University Press (OUP), Monthly Notices of the Royal Astronomical Society, 3(364), p. 833-842
DOI: 10.1111/j.1365-2966.2005.09614.x
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The collapse of non-collisional dark matter and the formation of pancake structures in the Universe are investigated approximately. Collapse is described by a system of ordinary differential equations, in the model of a uniformly rotating, three-axis, uniform density ellipsoid. Violent relaxation, mass and angular momentum losses are taken into account phenomenologically. The formation of the equilibrium configuration, secular instability and the transition from a spheroid to a three-axis ellipsoid are investigated numerically and analytically in this dynamical model. ; Comment: 11 pages, 8 figures