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Bound on induced gravitational wave background from primordial black holes

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arxiv 0911.0611 v2 pith:WM57MKOA submitted 2009-11-03 astro-ph.CO

Bound on induced gravitational wave background from primordial black holes

classification astro-ph.CO
keywords blackgravitationalinducedbackgroundboundholesprimordialregion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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