Approximate dynamics of dark matter ellipsoids

Abstract

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.

11 pages, 8 figures

References in corpus (4)

• Equilibrium, Stability and Orbital Evolution of Close Binary Systems
• Hydrodynamics of Rotating Stars and Close Binary Interactions: Compressible Ellipsoid Models
• A simplified model of the formation of structures in the dark matter, and a background of very long gravitational waves
• The Secular Bar-Mode Instability in Rapidly Rotating Stars Revisited

Cited by in corpus (4)

• Dynamic stabilization of non-spherical bodies against unlimited collapse
• Regular and chaotic dynamics of non-spherical bodies. Zeldovich's pancakes and emission of very long gravitational waves
• Emden-Chandrasekhar, axisymmetric, rigidly rotating polytropes. VI. Self-consistency and continuity
• On determining the kinetic content of ellipsoidal configurations