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The problem of thermal instability of an infinitely extending homogeneous self-gravitating partially- ionized gaseous plasma, which is permeated by uniform magnetic field, has been investigated in this paper in the presence of radiative heat-loss functions, rotation, viscosity, thermal conductivity, electrical resistivity and Hall current of the medium. With the help of relevant linearized perturbation equations of the problem, a general dispersion relation is obtained for the considered medium and discussed in the longitudinal and transverse direction of propagation by using normal mode analysis method. The longitudinal mode is found to be modified by Alfven speed, rotation, viscosity and Hall current of the medium and it is also found that the condition of radiative instability is independent of the magnetic field, Hall current and viscosity but for the transverse mode of propagation it depends on the strength of the magnetic field. The damping effect is produced due to collision frequency, viscosity and Hall current. The curve shows the stabilizing effects of neutral component, rotation and magnetic field and destabilizing effect of thermal conductivity, electrical resistivity and density-dependent heat-loss functions on the growth rate of instability of the system.

Thermal Instability of Self-Gravitating Rotating Viscous Partially Ionized Plasma under the Effect of Hall Current