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A Hierarchy of Dynamic States of Relaxation

Ll. Bel
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Abstract

We define a hierarchy of dynamic relaxed gas spheres as solutions of the Poisson equation coupled to a hierarchy of approximations of the Liouville equation leading, when this equation is satisfied, to the well-known isothermal gas spheres in the static case, but also to a new form of dynamic maximum relaxation. The two previous steps of the hierarchy correspond to an increasing degree of local relaxation at the center of the configuration.

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Ll. Bel. 1999-06-10. A Hierarchy of Dynamic States of Relaxation. https://arxiv.org/abs/gr-qc/9906035

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