Testing primordial black hole and measuring the Hubble constant with multiband gravitational-wave observations

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 $H_0$ by multiband observations of the stochastic gravitational-wave backgrounds.

17 pages, 5 figures; matches the published version

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• Scalar induced gravitational waves in light of Pulsar Timing Array data
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• Primordial Black Hole Formation in Non-Minimal Curvaton Scenario
• Cosmological Interpretation for the Stochastic Signal in Pulsar Timing Arrays
• Simultaneously probing the sound speed and equation of state of the early Universe with pulsar timing arrays
• Model-independent reconstruction of the primordial curvature power spectrum from PTA data
• Constraining the Merger History of Primordial-Black-Hole Binaries from GWTC-3
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
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• Probing the equation of state of neutron stars with captured primordial black holes