Bound on induced gravitational wave background from primordial black holes

Details Bound on induced gravitational wave background from primordial black holes Bound on induced gravitational wave background from primordial black holes

2009-11-03

arxiv.org/abs/0911.0611v2

JETP Lett.91: 1-5, 2010; Pisma Zh.Eksp.Teor.Fiz.91: 3-7, 2010.

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

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

Scientific paper

10.1134/S0021364010010017

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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