Einstein universes stabilized
General Relativity and Quantum Cosmology
2007-10-02 v1
Abstract
The 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 \beta of self energy. In the Weyl geometric approach to cosmological redshift, Einstein-Weyl universes with observational restrictions of the curvature parameters are dynamically stable, if \beta is about 40 % smaller than in the exact Newton Ansatz or if the space geometry is elliptical.
Cite
@article{arxiv.0710.0269,
title = {Einstein universes stabilized},
author = {Erhard Scholz},
journal= {arXiv preprint arXiv:0710.0269},
year = {2007}
}
Comments
13 pp., 4 figs