E-models of inflation and primordial black holes

Abstract

We propose and study the new (generalized) E-type $\alpha$-attractor models of inflation, in order to include formation of primordial black holes (PBHs). The inflaton potential has a near-inflection point where slow-roll conditions are violated, thus leading to large scalar perturbations collapsing to PBHs later. An ultra-slow roll (short) phase exists between two (longer) phases of slow-roll inflation. We numerically investigate the phases of inflation, derive the power spectrum of scalar perturbations and calculate the PBHs masses. For certain values of the parameters, the asteroid-size PBHs can be formed with the masses of $10^{17}÷10^{19}$ g, beyond the Hawking evaporation limit and in agreement with current CMB observations. Those PBHs are a candidate for (part of) dark matter in the present universe, while the gravitational waves induced by the PBHs formation may be detectable by the future space-based gravitational interferometers.

11 pages, 3 Figures, 1 Table, LaTeX; references added

References in corpus (5)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• The Unity of Cosmological Attractors
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Descope of the ALIA mission
• On the equivalence between Starobinsky and Higgs inflationary models in gravity and supergravity

Cited by in corpus (2)

• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Fitting power spectrum of scalar perturbations for primordial black hole production during inflation