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.

arXiv comment23 pages, 5 figures, add constraints from PBH and GW, accepted for publication in JCAP

References in corpus (58)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• TianQin: a space-borne gravitational wave detector
• Did LIGO detect dark matter?
• New cosmological constraints on primordial black holes
• Primordial Black Holes as Dark Matter
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions
• Cosmological Backgrounds of Gravitational Waves
• The Pre-Big Bang Scenario in String Cosmology
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Beyond LISA: Exploring Future Gravitational Wave Missions
• The cosmological gravitational wave background from primordial density perturbations
• The international pulsar timing array project: using pulsars as a gravitational wave detector
• The clustering of massive Primordial Black Holes as Dark Matter: measuring their mass distribution with Advanced LIGO
• Reheating in Inflationary Cosmology: Theory and Applications
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• Detecting the Cosmic Gravitational Wave Background with the Big Bang Observer
• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• BICEP2 / Keck Array x: Constraints on Primordial Gravitational Waves using Planck, WMAP, and New BICEP2/Keck Observations through the 2015 Season
• Cosmic microwave background limits on accreting primordial black holes
• Low-frequency gravitational-wave science with eLISA/NGO
• Primordial black hole constraints for extended mass functions
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• Gravitational wave background as a probe of the primordial black hole abundance
• Threshold of primordial black hole formation
• Bouncing Cosmologies: Progress and Problems
• Ekpyrotic and Cyclic Cosmology
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• Science with the Square Kilometer Array: Motivation, Key Science Projects, Standards and Assumptions
• Cosmological Backgrounds of Gravitational Waves and eLISA/NGO: Phase Transitions, Cosmic Strings and Other Sources
• MACHO Project Limits on Black Hole Dark Matter in the 1-30 Solar Mass Range
• A Critical Review of Classical Bouncing Cosmologies
• Steepest growth of the power spectrum and primordial black holes
• Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Damping of Tensor Modes in Cosmology
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Femtolensing by Dark Matter Revisited
• Dark Matter Triggers of Supernovae
• Gravitational waves induced by scalar perturbations as probes of the small-scale primordial spectrum
• Primordial trispectrum from inflation
• Testing Primordial Black Holes as Dark Matter through LISA
• Exploring Bouncing Cosmologies with Cosmological Surveys
• New constraints on primordial black holes abundance from femtolensing of gamma-ray bursts
• The OGLE View of Microlensing towards the Magellanic Clouds. IV. OGLE-III SMC Data and Final Conclusions on MACHOs
• LIGO gravitational wave detection, primordial black holes and the near-IR cosmic infrared background anisotropies
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• The inflationary trispectrum
• The Gravitational-Wave Physics
• The cosmic gravitational wave background in a cyclic universe
• Primordial Black Holes for the LIGO Events in the Axion-like Curvaton Model
• Probing Primordial Gravitational Waves: Ali CMB Polarization Telescope
• Primordial black holes and associated gravitational waves in axion monodromy inflation
• Primordial Black Hole Production in Inflationary Models of Supergravity with a Single Chiral Superfield
• Sensitivity of primordial black hole abundance on the reheating phase

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