On stable variants of Einstein's static universe

Details On stable variants of Einstein's static universe On stable variants of Einstein's static universe

Jun 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gregr..42.1375g&link_type=abstract

General Relativity and Gravitation, Volume 42, Issue 6, pp.1375-1379

Physics

Relativistic Cosmology, Universe Models, Stability

Scientific paper

The investigation of the stability properties of certain variants of Einstein’s static universe performed by Carneiro and Tavakol (in Stability of the Einstein static universe in the presence of vacuum energy) is generalized. It is shown that all versions of Einstein’s static universe without interaction between the two fluids it contains are unstable. Interaction between the fluids may stabilize the universe. The condition for stability by perturbation of the scale factor from its static value is deduced for a class of universe models containing those investigated by Carneiro and Tavakol. Stability of the static state requires that energy is transformed to matter during such a perturbation.

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