Mathematics – Logic
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.3497a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 10, 15 May 1992, pp.3497-3511
Mathematics
Logic
76
Scientific paper
Decaying-vacuum singularity-free cosmological models based on the Chen-Wu ansatz of a cosmological term varying as R-2 where R is the scale factor of the Universe are introduced. They describe a closed ever-expanding universe of density parameter Ω>=1 and with no entropy, horizon, or monopole problems. They include and extend the critical density cosmology of Özer and Taha. The Özer-Taha period of phase transition during part of which the pressure is negative occurs in these models. In its wake and throughout the radiation-dominated era the Universe is Einstein-de Sitter-like with Ω then and subsequently near unity. Nucleosynthesis proceeds as in the standard model. Consistency with the observed helium abundance and baryon asymmetry allows a maximum vacuum energy close to the radiation energy today. The presence of this vacuum energy could be detrimental to certain theories of galaxy formation. A specific model with initial conditions approaching the hot big bang is studied in detail, particularly as regards the entropy and flatness of the very early Universe.
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