Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity

Abstract

We investigate the formation of primordial black hole (PBH) based on numerical relativity simulations and peak theory as well as the corresponding scalar induced gravitational wave (SIGW) signals in the presence of \emph{logarithmic non-Gaussianities} which has recently been confirmed in a wide class of inflation models. Through numerical calculations, we find certain parameter spaces of the critical thresholds for the type A PBH formation and reveal a maximum critical threshold value. We also find that there is a region where no PBH is produced from type II fluctuations contrary to a previous study. We then confirm that SIGW signals originated from the logarithmic non-Gaussianity are detectable in the Laser Interferometer Space Antenna if PBHs account for whole dark matter. Finally, we discuss the SIGW interpretation of the nHz stochastic gravitational wave background reported by the recent pulsar timing array observations. We find that PBH overproduction is a serious problem for most of the parameter space, while this tension might still be alleviated in the non-perturbative regime.

26 pages, 11 figures, accepted in JCAP

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Cited by in corpus (13)

• Primordial Black Hole Formation from Power Spectrum with Finite-width
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Fundamental Physics and Cosmology with TianQin
• Threshold for PBH formation in the type-II region and its analytical estimation
• A new approach for simulating PBH formation from generic curvature fluctuations with the Misner-Sharp formalism
• Bayesian reconstruction of primordial perturbations from induced gravitational waves
• Dip and non-linearity in the curvature perturbation from inflation with a transient non-slow-roll stage
• Inflationary relics from an Ultra-Slow-Roll plateau
• Stochastic-tail of the curvature perturbation in hybrid inflation
• Eternal inflation near inflection points: a challenge to primordial black hole models
• Numerical simulations of primordial black hole formation via delayed first-order phase transitions
• Excursion-set for Primordial Black Holes I: white noise and moving barrier
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function