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Induced gravitational waves in a general cosmological background

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arxiv 1912.05583 v3 pith:Z57ILKR3 submitted 2019-12-11 gr-qc

Guillem Domènech This is my paper · ORCID
classification gr-qc
keywords gravitationalprimordialwavescosmologicalinducedbackgroundblackgeneral
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Gravitational waves are inevitably produced by second order terms in cosmological perturbation theory. Most notably, the so-called induced gravitational waves are a window to the small scales part of the primordial spectrum of fluctuations and a key counterpart to the primordial black hole scenario. However, semi-analytical solutions are only known for matter and radiation domination eras. In this paper, we present new analytic integral formulas for the induced gravitational waves on subhorizon scales in a general cosmological background with a constant equation of state. We also discuss applications to a peaked primordial scalar power spectrum and the primordial black hole scenario.

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Forward citations

Cited by 6 Pith papers

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

  1. General SIGW source for reheating dynamics

    gr-qc 2025-12 conditional novelty 7.0 of 10

    A gauge-invariant source term for scalar-induced gravitational waves is derived for smooth reheating with an inflaton field transitioning into fluids.

  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.

  4. Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer

    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

    A Bayesian analysis shows that a future sub-solar PBH detection would make the primordial SIGW interpretation of PTA data favored over the SMBH interpretation, but this preference is driven by the detection prior.

  5. Tensor induced gravitational waves

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    Second-order tensor-induced gravitational waves can shift the inferred parameters of small-scale primordial gravitational wave models fitted to NANOGrav 15-year data, with one model favored by Bayes factors.

  6. New bounds on Memory Burdened Primordial Black Holes from Big Bang Nucleosynthesis

    astro-ph.CO 2025-06 reject novelty 4.0 of 10

    Memory-burdened primordial black holes lighter than 10^9 grams are newly constrained by Big Bang nucleosynthesis, with a residual unconstrained window around 1-100 grams for suppression index k=2.

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