2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139076The hypothesis that gravitational self-binding energy may be the source for the vacuum energy term of cosmology is studied in a Newtonian Ansatz. For spherical spaces the attractive force of gravitation and the negative pressure of the vacuum energy term form a self stabilizing system under very reasonable restrictions for the parameters, among them a characteristic coefficient βof self energy. In the Weyl geometric approach to cosmological redshift, Einstein-Weyl universes with observational restrictions of the curvature parameters are dynamically stable, if βis about 40 % smaller than in the exact Newton Ansatz or if the space geometry is elliptical.13 pp., 4 figsGeneral Relativity and Quantum Cosmologytext