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E-models of inflation and primordial black holes

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arxiv 2207.11878 v2 pith:SRNWRWCC submitted 2022-07-25 astro-ph.CO gr-qchep-th

Daniel Frolovsky , Sergei V. Ketov , Sultan Saburov This is my paper · ORCID
classification astro-ph.COgr-qchep-th
keywords pbhsinflationblackformationgravitationalholesmassesperturbations
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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 $10^{17}\div 10^{19}$ 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. How deep is the dip and how tall are the wiggles in inflationary power spectra?

    astro-ph.CO 2025-01 conditional novelty 7.0 of 10

    In single-field PBH inflation models, a power-spectrum dip appears precisely when the inflaton velocity does not flip sign, and the peak amplitude scales as the inverse square of the dip amplitude.

  2. Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA

    astro-ph.CO 2025-01 conditional novelty 6.0 of 10

    LISA can reconstruct the primordial curvature power spectrum from scalar-induced gravitational waves, with percent-level precision near the peak and Bayesian tests separating SIGWs from other sources.

  3. One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production

    gr-qc 2025-02 conditional novelty 5.0 of 10

    For E-type alpha-attractor inflation models tuned to produce asteroid-mass primordial black holes, the one-loop correction from cubic interactions is only a few percent of the tree-level power spectrum.

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