On the Stability of an Encounterless Self-Gravitating Constant Density System

  • S. Goldstein
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 31)


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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  1. Antonov: 1961, Soy. Astron. — AJ 4, 859.MathSciNetADSGoogle Scholar
  2. Lynden Bell, D.: 1969, Monthly Notices Roy. Astron. Soc. 144, 189.ADSGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1972

Authors and Affiliations

  • S. Goldstein
    • 1
  1. 1.Dept. of Physics and AstronomyTel-Aviv UniversityTel-AvivIsrael

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