Abstract

Inflation during rapid oscillation of a scalar field in non-minimal derivative coupling model is discussed. Cosmological perturbations originated in this stage are studied and the consistency of the results with observational constraints coming from Planck 2013 data are investigated.

Highlights

  • In the past three decades various models have been proposed for inflation [1], where in many of them inflation is driven by a canonical scalar field, φ, rolling slowly in an almost flat potential

  • Higgs boson may be a natural candidate for inflaton [2]

  • Cosmological perturbations created in this era are computed and the consistency of the results with observational constraints coming from Planck 2013 [10] are investigated

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Summary

Introduction

In the past three decades various models have been proposed for inflation [1], where in many of them inflation is driven by a canonical scalar field, φ (dubbed inflaton), rolling slowly in an almost flat potential. Higgs boson may be a natural candidate for inflaton [2] Inspired by this idea, the authors of [3], by introducing a non-minimal coupling between kinetic term of the scalar field and the Einstein tensor, tried to consider the inflaton as the Higgs boson, without violating the unitarity bound. The authors of [3], by introducing a non-minimal coupling between kinetic term of the scalar field and the Einstein tensor, tried to consider the inflaton as the Higgs boson, without violating the unitarity bound This model is specified by the action. Perturbations originated in the rapid oscillation era may have imprints on cosmological scales provided that one considers an adequate period of inflation during rapid oscillation This may happen in more complicated models such as hybrid inflation, as was asserted in [8]. Cosmological perturbations created in this era are computed and the consistency of the results with observational constraints coming from Planck 2013 [10] are investigated

Oscillatory inflation
Cosmological perturbations
Γ2Σ εs c2t
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