Effect of Electron Inertia on Radiative Instability of Optically Thick Plasma

In the present problem the Jeans instability in dense magnetized plasma is examined by taking into account the electron inertia in the presence of radiative optically thick plasma. A general dispersion relation is derived using normal mode analysis and discussed for the longitudinal and transverse direction of wave propagation. The electron inertia is found to play an important role in the transverse dispersion relation and exhibit destabilizing effects on the magnetized plasma. The Jeans instability criteria show that the electron inertia has destabilizing effects on the gravitational instability. The effect of finite electron inertia and magnetic field on the growth rate of the instability are shown in various graphs. It is clear from the graphical presentation the electron inertia has destabilizing and magnetic field hasa stabilizing influence in the system.