Induced gravitational wave background and primordial black holes

Abstract

We calculate the frequency dependence of gravitational wave background arising at second order of cosmological perturbation theory due to mixing of tensor and scalar modes. The calculation of the induced gravitational background is performed for two special cases: for the power spectrum of scalar perturbations which has a peak at some scale and for the scalar spectrum predicted by the inflationary model with the running mass potential. We show that the amplitudes of the induced gravitational background, in the frequency region $\sim 10^{-3}-10^3$Hz, are effectively constrained by results of studies of primordial black hole production in early universe. We argue that though today's LIGO bound on ${\mathcal{P}}_{\mathcal{R}}(k)$ is weaker than the PBH one, Advanced LIGO will be able to set a stronger bound, and in future the ground-based interferometers of LIGO type will be suitable for obtaining constraints on PBH number density in the mass range $\sim 10^{11}-10^{15}$ g.

v2: 14 pages, 7 figures; revised version of the manuscript, accepted for publication in Phys. Rev. D

References in corpus (13)

• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• An Upper Limit on the Stochastic Gravitational-Wave Background of Cosmological Origin
• Theory and Numerics of Gravitational Waves from Preheating after Inflation
• Gravitational Wave Production At The End Of Inflation
• Unified treatment of cosmological perturbations from super-horizon to small scales
• GUT-Scale Primordial Black Holes: Consequences and Constraints
• Stochastic Gravitational Wave Background from Light Cosmic Strings
• Generating Primordial Black Holes Via Hilltop-Type Inflation Models
• Constraints on amplitudes of curvature perturbations from primordial black holes
• The inflationary gravitational-wave background and measurements of the scalar spectral index
• Large curvature perturbations near horizon crossing in single-field inflation models

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