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Log-dependent slope of scalar induced gravitational waves in the infrared regions
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abstract
We analytically calculate the scalar induced gravitational waves (SIGWs) and find a log-dependent slope of SIGW in the infrared regions $(f<f_c)$, namely $n_{\mathrm{GW}}(f)=3-2/\ln(f_c/f)$, and $n_{\mathrm{GW}}(f)=2-2/\ln(f_c/f)$ near the peak if the power spectrum of scalar curvature perturbation is quite narrow, where $f_c$ is roughly the frequency at the peak of SIGW. Such a log-dependent slope can be taken as a new template for distinguishing SIGW from other sources.
Forward citations
Cited by 3 Pith papers
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Isotropic background and anisotropies of gravitational waves induced by cosmological soliton isocurvature perturbations
Soliton isocurvature perturbations produce gravitational waves whose sky anisotropies are enhanced by non-Gaussianity, offering a new probe of the early universe.
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Scalar-induced gravitational waves from a box-shaped curvature power spectrum
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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Infrared Behavior of Induced Gravitational Waves from Isocurvature Perturbations
The claimed infrared slope for isocurvature-induced gravitational waves is 3 minus 4 divided by the logarithm of the effective peak scale squared over six k squared, approaching 3 in the deep infrared.
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