http://arxiv.org/abs/2112.05473
Primordial curvature perturbations with a large enough amplitude on small scales can lead to two kinds of gravitational waves which are expected to be detected by multiband gravitational-wave observations. One is induced due to the nonlinear coupling of the curvature perturbation to tensor perturbation while the other is produced by coalescences of binary primordial black holes formed when the scalar perturbations reenter the horizon in the radiation dominant era. In this letter, we identify the relation of peak frequency for the spectra of such two stochastic gravitational-wave backgrounds. This peak frequency relation offers a new criterion for the existence of primordial black holes. Moreover, the relation provides a new method for measuring the Hubble constant $H_0$ through multiband observations of stochastic gravitational-wave backgrounds. Such a method does not need the redshift information which is necessary in the standard siren method.
L. Liu, X. Yang, Z. Guo, et. al.
Mon, 13 Dec 21
12/70
Comments: 6 pages, 2 figures
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