articlePhysical Review LettersMay 20, 2019GREEN OA

Gravitational Waves Induced by Non-Gaussian Scalar Perturbations

Institute of Theoretical Physics · Chinese Academy of Sciences · +4 more institutions

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Abstract

We study gravitational waves (GWs) induced by non-Gaussian curvature perturbations. We calculate the density parameter per logarithmic frequency interval, ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{GW}}(k)$, given that the power spectrum of the curvature perturbation ${\mathcal{P}}_{\mathcal{R}}(k)$ has a narrow peak at some small scale ${k}_{*}$, with a local-type non-Gaussianity, and constrain the nonlinear parameter ${f}_{\mathrm{NL}}$ with the future LISA sensitivity curve as well as with constraints from the abundance of the primordial black holes (PBHs). We find that the non-Gaussian contribution to ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{GW}}$ increases as ${k}^{3}$, peaks at $k/{k}_{*}=4/\sqrt{3}$, and…

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