Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter

Abstract

Primordial Black Holes (PBH) could be the cold dark matter of the universe. They could have arisen from large (order one) curvature fluctuations produced during inflation that reentered the horizon in the radiation era. At reentry, these fluctuations source gravitational waves (GW) via second order anisotropic stresses. These GW, together with those (possibly) sourced during inflation by the same mechanism responsible for the large curvature fluctuations, constitute a primordial stochastic GW background (SGWB) that unavoidably accompanies the PBH formation. We study how the amplitude and the range of frequencies of this signal depend on the statistics (Gaussian versus ${\chi }^2$) of the primordial curvature fluctuations, and on the evolution of the PBH mass function due to accretion and merging. We then compare this signal with the sensitivity of present and future detectors, at PTA and LISA scales. We find that this SGWB will help to probe, or strongly constrain, the early universe mechanism of PBH production. The comparison between the peak mass of the PBH distribution and the peak frequency of this SGWB will provide important information on the merging and accretion evolution of the PBH mass distribution from their formation to the present era. Different assumptions on the statistics and on the PBH evolution also result in different amounts of CMB $\mu$-distortions. Therefore the above results can be complemented by the detection (or the absence) of $\mu$-distortions with an experiment such as PIXIE.

32 pages, 12 figures

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Cited by in corpus (11)

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• Generating PBHs and small-scale GWs in two-field models of inflation
• Constraining the primordial black hole scenario with Bayesian inference and machine learning: the GWTC-2 gravitational wave catalog
• Primordial black holes and gravitational waves from resonant amplification during inflation
• Resonant multiple peaks in the induced gravitational waves
• Baryon Asymmetry and Gravitational Waves from Pseudoscalar Inflation
• Primordial black holes and secondary gravitational waves from inflationary model with a non-canonical kinetic term
• Primordial black holes and oscillating gravitational waves in slow-roll and slow-climb inflation with an intermediate non-inflationary phase
• Primordial Tensor Perturbation in Double Inflationary Scenario with a Break
• Primordial Non-Gaussianity from G-inflation
• Peak statistics for the primordial black hole abundance