Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model

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Main Authors: Wang, Li-Shuai, Xie, Qiong-Tao, Chen, Li-Yang
Format: Preprint
Published: 2025
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author Wang, Li-Shuai
Xie, Qiong-Tao
Chen, Li-Yang
author_facet Wang, Li-Shuai
Xie, Qiong-Tao
Chen, Li-Yang
contents We investigate an inflationary model with a non-minimal derivative coupling, where the coupling function contains both constant and periodic components. On large scales, the model is in excellent agreement with the latest Planck-ACT-LiteBIRD-BICEP/Keck 2018 (P-ACT-LB-BK18) observations. On small scales, the periodic component induces a sound-speed resonance mechanism that significantly amplifies curvature perturbations, resulting in the production of primordial black holes (PBHs). By incorporating nonlinear effects in the PBH abundance calculation, we find that the resulting PBHs can account for the majority of dark matter in the Universe. Furthermore, the PBH formation process generates scalar-induced gravitational waves (SIGWs) with a characteristic multi-peak spectral shape, which may be detectable by future space-based detectors such as LISA, Taiji, and TianQin. The model also predicts a high-frequency stochastic gravitational-wave background (SGWB) from PBH binary mergers. A combined detection of SIGWs and high-frequency gravitational waves (GWs) in future experiments would provide a direct and testable probe of this inflationary scenario.
format Preprint
id arxiv_https___arxiv_org_abs_2503_01460
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model
Wang, Li-Shuai
Xie, Qiong-Tao
Chen, Li-Yang
Cosmology and Nongalactic Astrophysics
We investigate an inflationary model with a non-minimal derivative coupling, where the coupling function contains both constant and periodic components. On large scales, the model is in excellent agreement with the latest Planck-ACT-LiteBIRD-BICEP/Keck 2018 (P-ACT-LB-BK18) observations. On small scales, the periodic component induces a sound-speed resonance mechanism that significantly amplifies curvature perturbations, resulting in the production of primordial black holes (PBHs). By incorporating nonlinear effects in the PBH abundance calculation, we find that the resulting PBHs can account for the majority of dark matter in the Universe. Furthermore, the PBH formation process generates scalar-induced gravitational waves (SIGWs) with a characteristic multi-peak spectral shape, which may be detectable by future space-based detectors such as LISA, Taiji, and TianQin. The model also predicts a high-frequency stochastic gravitational-wave background (SGWB) from PBH binary mergers. A combined detection of SIGWs and high-frequency gravitational waves (GWs) in future experiments would provide a direct and testable probe of this inflationary scenario.
title Primordial black holes and scalar induced gravitational waves from sound speed resonance in non-minimal derivative coupling inflation model
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2503.01460