Abstract
The effect of rotation on the Jeans instability of a self-gravitating viscoelastic fluid has been investigated using generalized hydrodynamic fluid equations. A dispersion relation is obtained using the linearized perturbation equations and normal mode analysis which is discussed for directions of rotation parallel and perpendicular to the wave propagation in classical (hydrodynamic) as well as kinetic limits. The Jeans criterion of instability is also obtained and it is found that it is unaffected by the presence of rotation in both the classical hydrodynamic and kinetic limits. The effects of Mach number, shear viscosity, sound velocity and rotation on the growth rate of the Jeans instability are also discussed numerically and we found that the shear viscosity and rotation have stabilizing influences on the growth rates of instability in both perpendicular and parallel propagations with finite angular rotation frequency. The stability of the rotating viscoelastic fluid is discussed using the Routh-Hurwitz criterion.
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