Electron Inertia Effects on the Gravitational Instability under the Influence of FLR Corrections and Suspended Particles

In this paper, we investigate the effects of electron inertia on the gravitational instability of gaseous plasma under the influence of FLR (Finite Larmor Radius) corrections and suspended particles. A general dispersion relation has been derived through relevant linearized perturbation equations. The general dispersion relation is reduced for both longitudinal and transverse mode of propagation. Numerical calculations have been performed to show the effect of various parameters on the growth rate of the gravitational instability. It is found that the simultaneous effect of viscosity, finite conductivity and permeability of the medium does not essentially change the Jeans criterion of instability. From the curves, we find that relaxation time, Stoke drag, viscosity and FLR parameter have a stabilizing effect on the growth rate of instability, but the thermal conductivity and finite electron inertia parameter have a destabilizing effect on the growth rate of instability.