Abstract
The effects of Hall currents and finite electrical conductivity on the gravitational instability of an infinite homogeneous rotating fluid have been studied. The fluid is assumed to be permeated by an oblique magnetic field. The dispersion relation has been obtained. It is found that Jean's criterion remains unchanged in the presence of Hall currents at finite conductivity. Numerical calculations have been performed to obtain the dependence of the growth rate of the gravitationally unstable mode on the various physical parameters involved. The Hall currents, finite conductivity have destabilizing influence while the coriolis force has a stabilizing influence on the unstable mode of wave propagation of the gravitationally unstable.
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