Reconstruction methods and the amplification of the inflationary spectrum

Abstract

We analyze the consequences of different evolutions of the Hubble parameter on the spectrum of scalar inflationary perturbations. The analysis is restricted to inflationary phases described by a transient evolution, when uncommon features arise in the inflationary spectra that may lead to an amplitude enhancement. We then discuss how the spectrum is, respectively, amplified or blue-tilted in the presence or absence of a growing solution of the Mukhanov-Sasaki equation. The cases of general relativity with a minimally coupled inflaton and that of induced gravity are considered explicitly. Finally, some remarks on constant roll inflation are discussed.

references updated, conceptual clarifications added. Matches published version

References in corpus (4)

• Primordial Black Holes as Dark Matter: Recent Developments
• Primordial black hole dark matter from single field inflation
• Primordial Black Holes and Slow-Roll Violation
• DBI Inflation and Warped Black Holes

Cited by in corpus (5)

• Inflation in $F(R)$ gravity models revisited after ACT
• Superpotential method and the amplification of inflationary perturbations
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Primordial Black Holes in Induced Gravity Inflationary Models with Two Scalar Fields
• Primordial black holes formation in inflationary $F(R)$ models with scalar fields