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Analytic integral solutions for induced gravitational waves

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arxiv 1909.12708 v2 pith:OG33AVEA submitted 2019-09-27 gr-qc astro-ph.COhep-ph

classification gr-qcastro-ph.COhep-ph
keywords inducedsolutionsanalyticgravitationalintegralsecond-orderwavescalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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We present analytic integral solutions for the second-order induced gravitational waves (GWs). After presenting all the possible second-order source terms, we calculate explicitly the solutions for the GWs induced by the linear scalar and tensor perturbations during matter- and radiation-dominated epochs.

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Cited by 6 Pith papers

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

  1. Observable Gravitational Wave Strain at Second Order

    gr-qc 2025-12 conditional novelty 7.0 of 10

    At second order, the gravitational-wave strain measured by geodesic observers exchanging light pulses is the transverse-traceless metric perturbation in the Newton gauge (h_N^(2)).

  2. 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.

  3. 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.

  4. On the Gauge Invariance of Secondary Gravitational Waves

    astro-ph.CO 2025-01 conditional novelty 5.0 of 10

    The paper argues that discarding non-light-speed modes of the second-order tensor perturbation makes the induced gravitational wave energy density gauge-invariant in both adiabatic and isocurvature scenarios.

  5. Can tensor-scalar induced GWs dominate PTA observations ?

    astro-ph.CO 2024-12 conditional novelty 5.0 of 10

    A Bayesian fit to NANOGrav 15-year data finds that tensor-scalar induced gravitational waves plus primordial tensor waves can fit the PTA background, with amplitudes constrained by CMB, BAO, and PBH limits.

  6. 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.

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