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Gravitational waves from primordial scalar and tensor perturbations

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arxiv 2209.07693 v2 pith:F62MDZNH submitted 2022-09-16 astro-ph.CO gr-qc

Gravitational waves from primordial scalar and tensor perturbations

classification astro-ph.CO gr-qc
keywords primordialordersecondspectratensorgravitationalperturbationspower
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the second order gravitational waves induced by the primordial scalar and tensor perturbations during radiation-dominated era. The explicit expressions of the power spectra of the second order GWs are presented. We calculate the energy density spectra of the second order GWs for a monochromatic primordial power spectra. For large $k$ $\left( k>k_* \right)$, the effects of the primordial tensor perturbation with tensor-to-scalar ratio $r=A_{h}/A_{\zeta}=0.2$ lead to an around $50\% $ increase of the signal-to-noise ratio (SNR) for LISA observations.

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Cited by 2 Pith papers

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

  1. Observable Gravitational Wave Strain at Second Order

    gr-qc 2025-12 conditional novelty 7.0

    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. Suppression of the induced gravitational wave background due to third-order perturbations

    astro-ph.CO 2025-09 conditional novelty 7.0

    Third-order scalar-tensor correlations suppress the induced gravitational wave background, and some of these new contributions diverge in the ultraviolet.