scholarly journals Primordial black holes and uncertainties in the choice of the window function

2018 ◽  
Vol 97 (10) ◽  
Author(s):  
Kenta Ando ◽  
Keisuke Inomata ◽  
Masahiro Kawasaki
Keyword(s):  
Black Holes ◽  
Window Function ◽  
Primordial Black Holes

Cosmology, primordial black holes, and supermassive particles

1985 ◽  
Vol 145 (3) ◽  
pp. 369 ◽  
Author(s):  
A.G. Polnarev ◽  
M.Yu. Khlopov
Keyword(s):  
Black Holes ◽  
Primordial Black Holes

scholarly journals Testing stochastic gravitational wave signals from primordial black holes with optical telescopes

2021 ◽  
Vol 814 ◽  
pp. 136097
Author(s):  
Sunao Sugiyama ◽  
Volodymyr Takhistov ◽  
Edoardo Vitagliano ◽  
Alexander Kusenko ◽  
Misao Sasaki ◽  
...  
Keyword(s):  
Black Holes ◽  
Gravitational Wave ◽  
Primordial Black Holes ◽  
Optical Telescopes

scholarly journals Probing planetary-mass primordial black holes with continuous gravitational waves

2021 ◽  
pp. 100836
Author(s):  
Andrew L. Miller ◽  
Sébastien Clesse ◽  
Federico De Lillo ◽  
Giacomo Bruno ◽  
Antoine Depasse ◽  
...  
Keyword(s):  
Black Holes ◽  
Gravitational Waves ◽  
Primordial Black Holes ◽  
Planetary Mass

scholarly journals Abundance of Primordial Black Holes in Peak Theory for an Arbitrary Power Spectrum

2020 ◽  
Author(s):  
Chul-Moon Yoo ◽  
Tomohiro Harada ◽  
Shin’ichi Hirano ◽  
Kazunori Kohri
Keyword(s):  
Mass Spectrum ◽  
Power Spectrum ◽  
Environmental Effect ◽  
Window Function ◽  
Radial Coordinate ◽  
Primordial Black Holes ◽  
Scale Invariant ◽  
Curvature Perturbation ◽  
Arbitrary Power ◽  
Nonlinear Relation

Abstract We modify the procedure to estimate PBH abundance proposed in Ref. [1] so that it can be applied to a broad power spectrum such as the scale-invariant flat power spectrum. In the new procedure, we focus on peaks of the Laplacian of the curvature perturbation △ ζ and use the values of △ ζ and △ △ ζ at each peak to specify the profile of ζ as a function of the radial coordinate while the values of ζ and △ ζ are used in Ref. [1]. The new procedure decouples the larger-scale environmental effect from the estimate of PBH abundance. Because the redundant variance due to the environmental effect is eliminated, we obtain a narrower shape of the mass spectrum compared to the previous procedure in Ref. [1]. Furthermore, the new procedure allows us to estimate PBH abundance for the scale-invariant flat power spectrum by introducing a window function. Although the final result depends on the choice of the window function, we show that the k-space tophat window minimizes the extra reduction of the mass spectrum due to the window function. That is, the k-space tophat window has the minimum required property in the theoretical PBH estimation. Our procedure makes it possible to calculate the PBH mass spectrum for an arbitrary power spectrum by using a plausible PBH formation criterion with the nonlinear relation taken into account.

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