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Probing Primordial-Black-Hole Dark Matter with Scalar Induced Gravitational Waves

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arxiv 1906.11549 v2 pith:HTJB772R submitted 2019-06-27 astro-ph.CO gr-qchep-phhep-th

Chen Yuan , Zu-Cheng Chen , Qing-Guo Huang This is my paper · ORCID
classification astro-ph.COgr-qchep-phhep-th
keywords inducedpbhsblackcorrectiondarkdetectedgeneratedgravitational
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abstract

The possibility that primordial black holes (PBHs) represent all of the dark matter (DM) in the Universe and explain the coalescences of binary black holes detected by LIGO/Virgo has attracted a lot of attention. PBHs are generated by the enhancement of scalar perturbations which inevitably produce the induced gravitational waves (GWs). We calculate the induced GWs up to the third-order correction which not only enhances the amplitude of induced GWs, but also extends the cutoff frequency from $2k_*$ to $3k_*$. Such effects of the third-order correction lead to an around $10\%$ increase of the signal-to-noise ratio (SNR) for both LISA and pulsar timing array (PTA) observations, and significantly widen the mass range of PBHs in the stellar mass window accompanying detectable induced GWs for PTA observations including IPTA, FAST and SKA. On the other hand, the null detections of the induced GWs by LISA and PTA experiments will exclude the possibility that all of the DM is comprised of PBHs and the GW events detected by LIGO/Virgo are generated by PBHs.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectrum of third-order tensor perturbations induced by excited scalar fields

    gr-qc 2025-01 conditional novelty 7.0 of 10

    For exponentially amplified scalar modes during inflation, the third-order gravitational wave spectrum grows faster than the one-loop spectrum and dominates before the signal becomes detectable, breaking perturbation theory.

  2. Magnetically assisted primordial scalar perturbations: Scalar-Induced Gravitational Waves

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    PMF-sourced scalar perturbations during a kination-like reheating can induce a gravitational-wave background that dominates over the direct PMF tensor signal and may be detectable at mHz-kHz frequencies.

  3. Scalar-induced gravitational waves from a box-shaped curvature power spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Analytic SIGW spectra for a log-box curvature power spectrum: narrow-box geometric overlap factor turning IR slope k^{3}ln^{2}k into k^{2}ln^{2}k, plus broad-box product of universal edge functions.

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