Dissipationless collapse in an expanding universe

Mathematics – Logic

Scientific paper

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Galactic Clusters, Galactic Structure, Gravitational Collapse, Astronomical Models, Density Distribution, Elliptical Galaxies, Many Body Problem

Scientific paper

The collapse of isolated top-hat perturbations with general and cosmologically relevant initial conditions is considered. The simulations are started in Hubble flow with varying amounts of solid body rotation and small-scale power that is added in a controlled manner, with different power-law slopes and amplitudes. Velocities are initialized under the assumption that they were acquired solely through gravitational interaction before the start of the simulation in a manner consistent with the clumpiness of the particle distribution. The resulting collapses are clumpy and resemble merger events. The final density profiles in projection approximately follow a de Vaucouleurs R exp 1/4 law. The radial orbit instability does not appear important in determining the final shape of the systems, which range from oblate to triaxial to prolate. The final equilibria closely resemble elliptical galaxies with projected ellipticities ranging from E1 to E6.

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