Analysis of transverse magnetogravitational instability in viscoelastic media with radiative heat-loss and electron inertia

The impact of radiative heat-loss functions and finite electron inertia on the instability of a self-gravitating, homogeneous viscoelastic medium is investigated using the generalized hydrodynamic model. A general dispersion relation is derived through normal mode analysis of the linearized perturbation equations, incorporating effects of radiative heat loss, electron inertia, bulk and shear viscosities, magnetic fields, thermal conductivity and relaxation time. The Jeans instability criterion, indicating the onset of instability, is examined numerically to assess how various parameters influence it. The growth rate of the instability in the viscoelastic plasma is illustrated graphically. Results show that both radiative heat-loss and finite electron inertia significantly alter the instability conditions.