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VOLUME 91 | ISSUE 1 | PAGE 3
Bound on induced gravitational wave background from primordial black holes
E. V. Bugaev, P. A. Klimai
Institute for Nuclear Research RAS, 117312 Moscow, Russia
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 ΩGW 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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