Degenerate equilibrium states of collisionless stellar systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Stellar Dynamics, Galaxies: General

Scientific paper

We study spherically symmetrical equilibrium states of collisionless stellar systems confined to a spherical box. These equilibrium states correspond to the statistics introduced by Lynden-Bell in his theory of `violent relaxation', and are described by a Fermi-Dirac distribution function. We compute the corresponding equilibrium diagram and show that a global entropy maximum exists for any accessible control parameter. This equilibrium state shows a pronounced separation between a degenerate core and a halo. We therefore check that degeneracy is able to stop the gravitational collapse (of a collisionless system), and we propose a simple model for the `core-halo' structure. We also discuss the relevance of our study for real galaxies or other astrophysical systems such as massive neutrinos.

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