ON THE STABILITY OF THE ANOMALY-INDUCED INFLATION
A. Pelinson
Centro
Brasileiro de Pesquisas Físicas
We analyze various phases of
inflation based on the’anomaly-induced effective action of gravity (modified
Starobinsky model), taking the cosmological constant Lambda and k=0, +/- 1
topologies into account. The total number of the inflationary e-folds may be enor
mous, but at the last 65 of them the inflation greatly slows down due to the
contributions of the massive particles. For the supersymmetric particle
content, the stability of inflation holds from the initial point at the
sub-Planck scale until the symmetry breaks down. After that the universe enters
into the unstable regime with the eventual transition into the stable FRW-like
evolution with small positive cosmological constant. It is remarkable, that all
this follows automatically, without fine-tuning of any sort, independent on the
values of Lambda and k. Finally, we consider the stability under the metric
perturbations during the last 65 e-folds of inflation and find that the
amplitude of the ones with the wavenumber below a certain cutoff has an acceptable
range.
APRESENTAÇÃO
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