Jeans' Gravitational Instability of Rotating Plasma (original) (raw)

The gravitational instability of infinitely extending homogeneous rotating plasma permeated by an oblique magnetic field is considered. The solution has been obtained through the normal mode technique and dispersion relation has been derived. It is shown that Jeans' criterion remains unchanged in the present problem. The dispersion relation obtained has been solved numerically and it has been found that the Coriolis forces and viscosity have a stabilizing influence while Hall current and magnetic resistivity have destabilizing influence on the growth rate of the unstable mode of disturbance.