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The equations of gravitational modes of stratified, incompressible and ideally conducting fluids, with a viscous tensor in a sheared magnetic field are given. Boundary conditions at fluid discontinuities are derived. Properties of the frequency spectrum are obtained from variational principles. A detailed description of the modes and the Rayleigh-Taylor instability is given for a plasma-vacuum interface, with different magnetic fields on each side, in three cases: isotropic viscous properties, v c >> omega ci ( omega ci , ion cyclotron frequency; v c , ion collision frequency) and non isotropic viscous properties in the limit omega ci >>v c for k//B 0 , which is dominated by dissipative forces and for k perpendicular to B 0 , which is governed by gyroscopic forces. Applications of the theory to accelerated plasmas are discussed.
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Gratton et al. (1986) studied this question.
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