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    Primordial Black Holes from Sound Speed Resonance during Inflation

    Yi-Fu Cai1,2,*, Xi Tong1,2,3,†, Dong-Gang Wang4,5,‡, and Sheng-Feng Yan1,2,§

    • 1CAS Key Laboratory for Researches in Galaxies and Cosmology, Department of Astronomy, University of Science and Technology of China, Hefei, Anhui 230026, China
    • 2School of Astronomy and Space Science, University of Science and Technology of China, Hefei, Anhui 230026, China
    • 3Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
    • 4Lorentz Institute for Theoretical Physics, Leiden University, 2333 CA Leiden, Netherlands
    • 5Leiden Observatory, Leiden University, 2300 RA Leiden, Netherlands

    • *yifucai@ustc.edu.cn
    • †tx123@mail.ustc.edu.cn
    • ‡wdgang@strw.leidenuniv.nl
    • §sfyan22@mail.ustc.edu.cn
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    Phys. Rev. Lett. 121, 081306 – Published 24 August, 2018

    DOI: https://doi.org/10.1103/PhysRevLett.121.081306

    Abstract

    We report on a novel phenomenon of the resonance effect of primordial density perturbations arisen from a sound speed parameter with an oscillatory behavior, which can generically lead to the formation of primordial black holes in the early Universe. For a general inflaton field, it can seed primordial density fluctuations, and their propagation is governed by a parameter of sound speed square. Once, if this parameter achieves an oscillatory feature for a while during inflation, a significant nonperturbative resonance effect on the inflaton field fluctuations takes place around a critical length scale, which results in significant peaks in the primordial power spectrum. By virtue of this robust mechanism, primordial black holes with specific mass function can be produced with a sufficient abundance for dark matter in sizable parameter ranges.

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    Phys. Rev. Lett. 121, 081306– Published 24 August, 2018
    • Received 13 May 2018
    • Revised 31 July 2018
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