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Bound on induced gravitational wave background from primordial black holesby: Edgar Bugaev, Peter Klimai
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AbstractThe today's energy density of the induced (second order) gravitational wave background in the frequency region $∼ 10^-3 - 10^3$ 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 $∼ 40$ Hz (which is the region explored by LIGO detector), the value of the induced part of $Ω_GW$ cannot exceed $(1-3)× 10^-7$. The spread of values of the bound is caused by the uncertainty in parameters of the gravitational collapse of black holes.
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