On the Stability of an Encounterless Self-Gravitating Constant Density System
The stability of a constant density, self-gravitating system is investigated.
The system considered is one-dimensional, collisionless and described by the sheet model.
The equilibrium distribution function F(E), E being the energy, is such that the system has constant density in real space over a finite region.
An analytical treatment as well as computer experiment show stability for symmetric disturbances.
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