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On the stability of strongly non-homogeneous self-gravitating equilibria
Authors:Cuperman  S  Harten  A
Institution:(1) Dept. of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
Abstract:The stability analysis of several stronglynon-homogeneous, self-gravitating, one-dimensionalunstable equilibrium systems is carried out with the help of numerical techniques. The evolution of the lsquoperturbedrsquo unstable equilibria is studied by following the motion of the boundary curves of lsquowater bagrsquo configurations defining the systems.It is found that initial perturbations drive the unstable equilibrium states out of equilibrium at rates depending on the typical scale length of the perturbations lambda: the instability rates increase with lambda.
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