Propagation and evolution of waves in the self-gravitational medium

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Dynamic Stability, Gravitational Effects, Gravity Waves, Wave Propagation, Astrodynamics, Gravitational Collapse, Shear Flow, Wave Dispersion

Scientific paper

The propagation and evolution of linear waves in a self-gravitating medium are discussed from a general viewpoint. The well-known Jeans formula is obtained, and in a special case of unstable waves in a self-gravitating medium it is shown that the equiphase surface is 'frozen' in the moving medium. When the motion of the basic state is a shear flow, this property means that the unstable waves would evolve automatically into the quasi-stationary stage. Thus, in a self-gravitating medium there is a special mechanism within the framework of linear theory to suppress the infinite growth of unstable waves.

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