Jeans Instability of Self-gravitating Porous Medium under the Effect of Electron Plasma Frequency and Coriolis Force

This paper deals with the theoretical investigation of the combined effect of electron plasma frequency and Coriolis force on the hydromagnetic waves through a self gravitating porous medium in the presence of fine dust particles subjected to a transverse uniform magnetic field. A general dispersion relation is obtained using the normal mode analysis with the help of relevant linearized perturbation equation of motion. This dispersion relation is reduced for longitudinal and transverse modes of propagation. Dispersion relations for two modes are further reduced for the axis of rotation parallel and perpendicular to the direction of the magnetic field. We find that Jean’s criterion of instability remains valid but the expression of the critical Jean’s wave number is modified. The numerical analysis is performed to show the effect of thermal conductivity, relaxation time, rotation, Stokes drag and porosity of the medium on the growth rate of instability.