Jeans instability for an inert binary mixture: a kinetic theory approach in the Euler regime

Abstract

Abstract The Jeans stability criterion for gravitational collapse is examined for the case of an inert binary mixture in local equilibrium, neglecting dissipative effects. The corresponding transport equations are established using kinetic theory within the Euler regime approximation. It is shown that the corresponding dispersion relation is modified; yielding corrections to the Jeans wave number that can be generalized for several interesting cases involving positive entropy production such as matter- antimatter systems and ordinary matter-dark matter dynamics.