Abstract

In view of the importance of Coriolis force in an astrophysical context, the problem of self-gravitational instability of dusty plasma in the presence of magnetic field is investigated. Equations of the problem are stated and the dispersion relation has been derived with the help of linearized perturbation equations. We find that the Jeans criterion of instability remains valid but the expression of the critical Jeans wave-number is modified. Mathematical calculations have been performed and some figures are plotted between the growth rate of instability and wave numbers. From the curves, it is found that dust sonic speed has a stabilizing effect.

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