Lensing of fast radio bursts: Future constraints on primordial black hole density with an extended mass function and a new probe of exotic compact fermion and boson stars

Abstract Computations of the primordial black hole (PBH) mass function discussed in the literature have conceptual issues. They stem from the fact that the mass function is a differential quantity and the standard criterion of the PBH formation from the seed primordial fluctuations cannot be directly applied to the computation of the differential quantities. We propose a new criterion of the PBH formation, which is the addition of one extra condition to the existing one. By doing this, we derive a formal expression of the PBH mass function without introducing any ambiguous interpretations that exist in the previous studies. Once the underlying primordial fluctuations are specified, the PBH mass function can be in principle determined by the new formula. As a demonstration of our formulation, we compute the PBH mass function analytically for the case where the perturbations are Gaussian and the space is 1 dimension.

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The maximal-density mass function for primordial black hole dark matter

Journal of Cosmology and Astroparticle Physics ◽

10.1088/1475-7516/2018/04/007 ◽

2018 ◽

Vol 2018 (04) ◽

pp. 007-007 ◽

Cited By ~ 9

Author(s):

Benjamin V. Lehmann ◽

Stefano Profumo ◽

Jackson Yant

Keyword(s):

Black Hole ◽

Dark Matter ◽

Mass Function ◽

Primordial Black Hole ◽

Maximal Density

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Primordial black hole searches called off

Nature ◽

10.1038/nature.2014.14551 ◽

2014 ◽

Author(s):

Eugenie Samuel Reich

Keyword(s):

Black Hole ◽

Primordial Black Hole

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Retraction of the paper entitled “Lepton number violation in a unified framework“

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptaa161 ◽

2020 ◽

Vol 2020 (12) ◽

Author(s):

Apriadi Salim Adam ◽

Yuta Kawamura ◽

Yamato Matsuo ◽

Takuya Morozumi ◽

Yusuke Shimizu ◽

...

Keyword(s):

Mass Function ◽

Lepton Number ◽

Primordial Black Hole ◽

Unified Framework ◽

Extra Condition ◽

Formal Expression ◽

Lepton Number Violation ◽

Standard Criterion ◽

New Criterion ◽

New Formula

Abstract Computations of the primordial black hole (PBH) mass function discussed in the literature have conceptual issues. They stem from the fact that the mass function is a differential quantity and the standard criterion of the PBH formation from the seed primordial fluctuations cannot be directly applied to the computation of the differential quantities. We propose a new criterion of the PBH formation, which is the addition of one extra condition to the existing one. By doing this, we derive a formal expression of the PBH mass function without introducing any ambiguous interpretations that exist in the previous studies. Once the underlying primordial fluctuations are specified, the PBH mass function can be in principle determined by the new formula. As a demonstration of our formulation, we compute the PBH mass function analytically for the case where the perturbations are Gaussian and the space is 1 dimension.

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The Merger Rate of Black Holes in a Primordial Black Hole Cluster

Physics ◽

10.3390/physics3020026 ◽

2021 ◽

Vol 3 (2) ◽

pp. 372-378

Author(s):

Viktor D. Stasenko ◽

Alexander A. Kirillov

Keyword(s):

Black Holes ◽

Black Hole ◽

Mass Spectrum ◽

Star Clusters ◽

Primordial Black Hole ◽

Primordial Black Holes ◽

Central Black Hole ◽

Solar Mass ◽

Merger Rate

In this paper, the merger rate of black holes in a cluster of primordial black holes (PBHs) is investigated. The clusters have characteristics close to those of typical globular star clusters. A cluster that has a wide mass spectrum ranging from 10−2 to 10M⊙ (Solar mass) and contains a massive central black hole of the mass M•=103M⊙ is considered. It is shown that in the process of the evolution of cluster, the merger rate changed significantly, and by now, the PBH clusters have passed the stage of active merging of the black holes inside them.

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