論文

査読有り
2013年10月

Threshold of primordial black hole formation

PHYSICAL REVIEW D
  • Tomohiro Harada
  • ,
  • Chul-Moon Yoo
  • ,
  • Kazunori Kohri

88
8
開始ページ
084051
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.88.084051
出版者・発行元
AMER PHYSICAL SOC

Based on a physical argument, we derive a new analytic formula for the amplitude of density perturbation at the threshold of primordial black hole formation in the Universe dominated by a perfect fluid with the equation of state p = w rho c(2) for w >= 0. The formula gives delta(UH)(Hc) = sin(2)[pi root w/(1 + 3w)] and (delta) over tilde (c) = [3(1 + w)/(5 + 3w)]sin(2)[pi root w/(1 + 3w)], where delta(UH)(Hc) and (delta) over tilde (c) are the amplitude of the density perturbation at the horizon crossing time in the uniform Hubble slice and the amplitude measure used in numerical simulations, respectively, while the conventional one gives delta(UH)(Hc) = w and (delta) over tilde (c) = 3w(1 + w)/(5 + 3w). Our formula shows a much better agreement with the result of recent numerical simulations both qualitatively and quantitatively than the conventional formula. For a radiation fluid, our formula gives delta(UH)(Hc) = sin(2)(root 3 pi/6) similar or equal to 0.6203 and (delta) over tilde (c) = (2/3)sin(2)(root 3 pi/6) similar or equal to 0.4135. We also discuss the maximum amplitude and the cosmological implications of the present result.


リンク情報
DOI
https://doi.org/10.1103/PhysRevD.88.084051
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000326162700009&DestApp=WOS_CPL
ID情報
  • DOI : 10.1103/PhysRevD.88.084051
  • ISSN : 1550-7998
  • eISSN : 1550-2368
  • Web of Science ID : WOS:000326162700009

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