2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36543We 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.Latex, 12 pagesGeneral Relativity and Quantum Cosmologytext