2017
DOI: 10.1088/1475-7516/2017/09/037
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Gravitational waves from primordial black hole mergers

Abstract: We study the production of primordial black hole (PBH) binaries and the resulting merger rate, accounting for an extended PBH mass function and the possibility of a clustered spatial distribution. Under the hypothesis that the gravitational wave events observed by LIGO were caused by PBH mergers, we show that it is possible to satisfy all present constraints on the PBH abundance, and find the viable parameter range for the lognormal PBH mass function. The non-observation of a gravitational wave background allo… Show more

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Cited by 333 publications
(393 citation statements)
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“…In particular, the LIGO constraint taken from Ref. [56] assumes the PBH binary formation mechanism introduced in [57], which has been criticized e.g., in Ref. [38].…”
Section: Resultsmentioning
confidence: 99%
“…In particular, the LIGO constraint taken from Ref. [56] assumes the PBH binary formation mechanism introduced in [57], which has been criticized e.g., in Ref. [38].…”
Section: Resultsmentioning
confidence: 99%
“…Various attempts have been made to estimate the merger rate distribution of PBH binaries when PBHs have an extended mass function [10,55,58,59]. In particular, a formalism to estimate the effect of merger history of PBHs on merger rate distribution has been developed in [60], and it is argued that the multiple-merger effect may not be ignored if PBHs have a power-law or a lognormal mass function by choosing some specific parameter values of the mass function.…”
Section: Introductionmentioning
confidence: 99%
“…where dn pairs = n PBH 2 dN (x)dN (y)e −N (y) d cos θ 2 (10) is the density of initial configurations specified by x, y and θ, and…”
mentioning
confidence: 99%