Testing primordial black hole and measuring the Hubble constant with multiband gravitational-wave observations
arXiv:2112.05473 · doi:10.1088/1475-7516/2023/01/006
Abstract
There exist two kinds of stochastic gravitational-wave backgrounds associated with the primordial curvature perturbations. One is called induced gravitational wave due to the nonlinear coupling of curvature perturbations to tensor perturbations, while the other is produced by coalescences of binary primordial black holes formed when the large amplitude curvature perturbations reenter the horizon in the radiation dominant era. In this paper we find a quite useful relation for the peak frequencies of these two stochastic gravitational-wave backgrounds. This relation can not only offer a smoking-gun criterion for the existence of primordial black holes, but also provide a method for measuring the Hubble constant by multiband observations of the stochastic gravitational-wave backgrounds.
arXiv comment17 pages, 5 figures; matches the published version
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