Resonant multiple peaks in the induced gravitational waves

Abstract

We identify analytically a multiple-peak structure in the energy-density spectrum of induced gravitational waves (GWs) generated at second-order from a primordial scalar perturbations also with multiple($n$) peaks at small scales $k_{\ast i}$. The energy-density spectrum of induced GWs exhibits at most $C_{n+1}^2$ and at least $n$ peaks at wave-vectors $k_{ij}\equiv (k_{\ast i}+k_{\ast j})/\sqrt{3}$ due to resonant amplification, and, under the narrow-width approximation, it contains an universal factor that can be interpreted as a result of momentum conservation. We also extend these discussions to the case of non-Gaussian perturbations.

23 pages, 5 figures, add constraints from PBH and GW, accepted for publication in JCAP

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• NANOGrav results and LIGO-Virgo primordial black holes in axion-like curvaton model
• Primordial black holes and secondary gravitational waves from inflationary model with a non-canonical kinetic term
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• Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
• Approximate gauge independence of the induced gravitational wave spectrum
• Gravitational waves from dark matter isocurvature
• Primordial black holes and oscillating gravitational waves in slow-roll and slow-climb inflation with an intermediate non-inflationary phase
• Primordial black holes formation in the inflationary model with field-dependent kinetic term for quartic and natural potentials
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Primordial Non-Gaussianity from G-inflation
• Scalar induced gravitational waves review