Heat and Gravitation. II. Stability

Christian Frønsdal

doi:10.1007/s10714-010-1074-5

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arXiv · 0904.0427

Heat and Gravitation. II. Stability

Christian Frønsdal

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Abstract

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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Christian Frønsdal. 2009-04-02. Heat and Gravitation. II. Stability. https://doi.org/10.1007/s10714-010-1074-5

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