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Primordial black holes and gravitational waves from resonant amplification during inflation

2020/10/31 by Zihan Zhou, Jie Jiang, Yi-Fu Cai +2 · 1 citation
Physics and Astronomy · #Amplitude #Astrophysics #Binary black hole #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark Matter and Cosmic Phenomena #Gravitational wave #Hubble volume #Hubble's law #Inflation (cosmology) #LIGO #Parametric oscillator #Perturbation (astronomy) #Physics #Primordial black hole #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar field #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.102.103527

published as Phys. Rev. D 102, 103527 (2020) · 14 pages, 8 figures

openalex publication_date 2020/11/20 · arxiv created 2020/11/21 · arxiv updated 2020/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a new realization of the resonant production of primordial black holes as well as gravitational waves in a two-stage inflation model consisting of a scalar field \ensuremathφ with an axion-monodromy-like periodic structure in the potential that governs the first stage and another field \ensuremathχ with a hilltoplike potential that dominates the second stage. The parametric resonance seeded by the periodic structure at the first stage amplifies the perturbations of both fields inside the Hubble radius. While the evolution of the background trajectory experiences a turn as the oscillatory barrier height increases, the amplified perturbations of \ensuremathχ remain as they are and contribute to the final curvature perturbation. It turns out that the primordial power spectrum displays a significant resonant peak on small scales, which can lead to an abundant production of primordial black holes. Furthermore, gravitational waves are also generated from the resonantly enhanced field perturbations during inflation, the amplitude of which may be constrained by future gravitational wave interferometers.

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