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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Self-Gravitating Newtonian Disks Revisited
verfasst von : Patryk Mach, Edward Malec, Walter Simon
Erschienen in: Progress in Mathematical Relativity, Gravitation and Cosmology
Verlag: Springer Berlin Heidelberg
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Abstract
Recent analytic results concerning stationary, self-gravitating fluids in Newtonian theory are discussed. We give a theorem that forbids infinitely extended fluids, depending on the assumed equation of state and the rotation law. This part extends previous results that have been obtained for static configurations. The second part discusses a Sobolev bound on the mass of the fluid and a rigorous Jeans-type inequality that is valid in the stationary case.