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 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.
@article{arxiv.0911.0611,
title = {Bound on induced gravitational wave background from primordial black holes},
author = {Edgar Bugaev and Peter Klimai},
journal= {arXiv preprint arXiv:0911.0611},
year = {2014}
}
Comments
5 pages, 1 figure; v2: revised version of the manuscript, accepted for publication in JETP Letters