Effect of quantum correction and black body radiation on Jeans instability of porous medium

The Jeans instability of self-gravitating gaseous plasma is re-discussed in the framework of viscous, self-gravitating porous medium under the influence of quantum correction and black body radiation. The mathematical solution of the problem has been obtained through the normal mode analysis and the dispersion relation has been derived with the help of linearized perturbation equations. It is found that quantum corrections and black body radiation modify the fundamental Jeans criterion of gravitational instability and a new instability quantum corrected radiative instability is found. It is pointed here that the role of quantum correction is to stabilize the considered system by decreasing the value of critical Jeans wave-length. The stability of the system is discussed by applying Rought-Hurwitz criteria.