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.

7 pages, 1 figure, version to be published in IJMP D

References in corpus (1)

• Jeans analysis of self-gravitating systems in f(R)-gravity

Cited by in corpus (6)

• Jeans Instability in a Universe with Dissipation
• Jupiter and jovian (exo)-planets in Palatini $f(\bar{R})$ gravity
• Using kinetic theory to examine a self-gravitating system composed of baryons and cold dark matter
• Analysis of Jeans instability from the Boltzmann equation
• Jeans instability in an expanding universe with dissipation
• Jeans Instability from post-Newtonian Boltzmann equation