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Scalar-Induced Gravitational Waves in Modified Gravity

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arxiv 2502.20137 v2 pith:3QCMAKF6 submitted 2025-02-27 gr-qc astro-ph.CO

classification gr-qcastro-ph.CO
keywords gravitationalspectrumwavegravityrangescalar-inducedsgwbsigw
verification ladder T0 review T1 audit T2 compute T3 formal
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Scalar-Induced Gravitational Waves (SIGWs), second-order tensor modes sourced by first-order scalar fluctuations in General Relativity (GR), are expected to contribute to the Stochastic Gravitational Wave Background (SGWB) potentially detectable by current and future gravitational wave interferometers. In the framework of GR, this SGWB represents an unavoidable contribution to the gravitational wave spectrum. In this paper, we go beyond GR and we investigate the behavior of SIGWs in f(R) gravity. We explore how the SIGW spectrum is influenced across a broad range of frequencies, from the nano-Hz regime, where the Pulsar Timing Array (PTA) operates, through the milli-Hz band probed by the space-based LISA detector, up to the kilo-Hz frequency range, where the ground-based LIGO/Virgo/KAGRA network is currently operational. Our results indicate that the beyond-GR correction leaves an observational imprint, mainly in the low-frequency part of the spectrum, giving the possibility to use SIGW to constrain GR on scales on which we have limited information.

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Forward citations

Cited by 3 Pith papers

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

  1. 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.

  2. New test of modified gravity with gravitational wave experiments

    gr-qc 2025-09 conditional novelty 6.0 of 10

    For a stationary, isotropic gravitational wave background, three-point correlations are produced only by scalar polarizations, giving a new null test for modified gravity.

  3. Primordial black hole induced gravitational waves in $f(R)$ gravity

    astro-ph.CO 2025-08 unverdicted novelty 6.0 of 10

    In R^(1+ε) gravity, exponential growth of scalar perturbations during a PBH-driven early matter era enhances the induced gravitational wave signal, with Ω_GW ∝ f on large scales.

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