Gauge invariant metric perturbations during reheating

The possible amplification of gauge invariant metric fluctuations in the infrared sector are very important during reheating stage of inflation. In this stage the inflaton oscillates arount the minimum of the scalar potential. The evolution for super Hubble scales gauge invariant metric fluctuations can be studied by means of the Bardeen parameter. For a massive scalar field with a quadratic potential for a nonzero cosmological constant. I find that (in the reheating regime and for super Hubble scales), the Sasaki-Mukhanov parameter oscillates with amplitude constant such that there is no amplification of $Q$ during reheating.

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