Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-06-26
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages, 5 figures, typos corrected, references added
Scientific paper
The purpose of this work is to use a renormalized quantum scalar field to investigate very early cosmology, in the Planck era immediately following the big bang. Renormalization effects make the field potential dependent on length scale, and are important during the big bang era. We use the asymptotically free Halpern-Huang scalar field, which is derived from renormalization-group analysis, and solve Einstein's equation with Robertson-Walker metric as an initial-value problem. The main prediction is that the Hubble parameter follows a power law: $H\equiv\dot{a}/a\sim t^{-p}$, and the universe expands at an accelerated rate: $a\sim\exp t^{1-p}$. This gives "dark energy", with an equivalent cosmological constant that decays in time like $t^{-2p}$, which avoids the "fine-tuning" problem. The power law predicts a simple relation for the galactic redshift. Comparison with data leads to the speculation that the universe experienced a crossover transition, which was completed about 7 billion years ago.
Huang Kerson
Low Hwee-Boon
Tung Roh-Suan
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