Bound on induced gravitational wave background from primordial black holes

Abstract

The today's energy density of the induced (second order) gravitational wave background in the frequency region $\sim 10^{-3}-10^3$ Hz is constrained using the existing limits on primordial black hole production in the early Universe. It is shown, in particular, that at frequencies near $\sim 40$ Hz (which is the region explored by LIGO detector), the value of the induced part of ${\Omega }_{GW}$ cannot exceed $(1-3)\times 10^{-7}$. The spread of values of the bound is caused by the uncertainty in parameters of the gravitational collapse of black holes.

5 pages, 1 figure; v2: revised version of the manuscript, accepted for publication in JETP Letters

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• Gravitational waves from dark matter isocurvature
• Induced gravitational waves from the cosmic coincidence
• Exploring the Spectral Shape of Gravitational Waves Induced by Primordial Scalar Perturbations and Connection with the Primordial Black Hole Scenarios
• Induced gravitational waves from slow-roll inflation after an enhancing phase
• The Third Order Scalar Induced Gravitational Waves
• Search for the stochastic gravitational-wave background induced by primordial curvature perturbations in LIGO's second observing run
• Impacts of Hawking Radiation from Primordial Black Holes in Critical Collapse Model on the Light Element Abundances
• Scalar induced gravitational waves review