Heat and Gravitation. II. Stability

Details Heat and Gravitation. II. Stability Heat and Gravitation. II. Stability

2009-04-02

arxiv.org/abs/0904.0427v1

Physics

General Physics

19 pages, plain tex

Scientific paper

In this second article of a series we propose to base criteria of stability on the hamiltonian functional that is provided by the variational principle, to replace the reliance that has often been placed on {\it ad hoc} definitions of the "energy". We introduce a new virial principle that is formulated entirely within the Eulerian description of hydrodynamics, which allows a simpler derivation of a well known stability criterion for polytropic stellar configurations. Boundary conditions are based entirely on mass conservation.

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