Physics
Scientific paper
Feb 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006jcap...02..015d&link_type=abstract
Journal of Cosmology and Astroparticle Physics, Issue 02, pp. 015 (2006).
Physics
1
Scientific paper
The dynamics of closed Friedmann Robertson Walker (FRW) universes with a massive inflaton field is examined where Friedmann equations are corrected by the introduction of a potential term that implements non-singular bounces in the early evolution of the universe. This potential term arises from quantum gravity/high-energy corrections to cosmological scenarios near the singularity and is semiclassical in nature, being effective only when the scale factor is very small. For certain windows in the parameter space labelled by the scalar field mass and the conserved Hamiltonian, nonlinear resonance phenomena take place. Nonlinear resonance may induce the destruction of Kolmogorov Arnold Moser (KAM) tori that trap the inflaton, leading to a rapid growth of the scale factor and the scalar field, with disruption of metastable states and consequent escape of the universe into inflation. We make a numerical/analytical approach to the nonlinear resonance phenomena, characterizing a particular resonance by its characteristic periodic orbits and by the structure of the associated diffusion pattern. The diffusion occurs when the orbit escapes through a Cantorus in the border of primary KAM islands that encloses the characteristic periodic orbits of the resonance. The windows of parametric resonance, characterized by an integer n >= 2 (associated with the ratio of the frequencies in the scale factor/scalar field degrees of freedom) are the ones that strongly favour inflation in the system. We discuss how generic this behaviour is for inflationary models, and its possible consequences for structure formation.
Damiao Soares Ivano
de Oliveira Henrique P.
Tonini E. V.
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