paper

Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory

arXiv:2206.01039 · doi:10.1088/1475-7516/2023/03/048

Abstract

The power spectrum of the scalar-tensor inflation with a quadratic form Ricci scalar coupling function can be enhanced enough to produce primordial black holes and generate scalar-induced gravitational waves. The masses of primordial black holes and the frequencies of scalar-induced gravitational waves are controlled by the parameter , and their amplitudes are determined by the parameter . Primordial black holes with stellar masses, planetary masses, and masses around are produced and their abundances are obtained from the peak theory. The frequencies of the corresponding scalar-induced gravitational waves are around Hz, Hz, and Hz, respectively. The primordial black holes with masses around can account for almost all of the dark matter, and the scalar-induced gravitational waves with frequencies around Hz can explain the NANOGrav 12.5yrs signal.

26 pages, 3 figures

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