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 10-3 - 103 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 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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