Tensor-induced backreaction in ultra-slow-roll inflation limits the drop of the first slow-roll parameter and suppresses the curvature power spectrum peak from roughly 10^-3 to about 4x10^-6, strongly reducing primordial black hole production.
Gauge invariant backreaction in general single field models of inflation
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abstract
In a general single field inflationary model we consider the effects of long wavelength scalar fluctuations on the effective expansion rate and equation of state seen by a class of free falling observers, using a physical gauge invariant formulation. In a previous work we showed that for a free massive inflaton no backreaction is observed within some constraints. In this paper we extend the validity of our previous results to the case of an arbitrary self-interacting inflation potential, working to second order in cosmological perturbation theory and to all order in slow-roll approximation. For these general inflationary models, we also show the equivalence of the free falling observers to the ones comoving with the inflaton field.
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Tensor-Induced Backreaction in Ultra-Slow-Roll Inflation
Tensor-induced backreaction in ultra-slow-roll inflation limits the drop of the first slow-roll parameter and suppresses the curvature power spectrum peak from roughly 10^-3 to about 4x10^-6, strongly reducing primordial black hole production.