Analysis of instability of systems composed by dark and baryonic matter

Abstract

In this work the dynamics of self-gravitating systems composed by dark and baryonic matter is analyzed. Searching for a description of this dynamics, a system of collisionless Boltzmann equations for the two constituents and the Poisson equation for the gravitational field are employed. Through the solution of these equations the collapse criterion is determined from a dispersion relation. The collapse occurs in an unstable region where the solutions grow exponentially with time. It is shown that the unstable region becomes larger if the dispersion velocity of dark matter becomes larger than the one of the baryonic matter. The results obtained are also compared with the case where only the dark matter is present. The model of the present work has a higher limit of instability and therefore, exhibited an advantage in the structure formation.

arXiv comment7 pages, 1 figure, version to be published in IJMP D

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• Dark Matter Direct Detection Signals inferred from a Cosmological N-body Simulation with Baryons
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• Jeans instability in an expanding universe with dissipation
• Jeans Instability from post-Newtonian Boltzmann equation