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Primordial black hole formation in the matter-dominated phase of the Universe | | Tomohiro Harada
; Chul-Moon Yoo
; Kazunori Kohri
; Ken-ichi Nakao
; Sanjay Jhingan
; | | Date: |
6 Sep 2016 | | Abstract: | We investigate primordial black hole formation in the matter-dominated phase
of the Universe, where nonspherical effects in gravitational collapse play a
crucial role. This is in contrast to the black hole formation in a
radiation-dominated era. We apply the Zel’dovich approximation, Thorne’s hoop
conjecture, and Doroshkevich’s probability distribution and subsequently derive
the production probability $eta_{0}$ of primordial black holes. The numerical
result obtained is applicable even if the density fluctuation $sigma$ at
horizon entry is of the order of unity. For $sigmall 1$, we find a
semi-analytic formula $eta_{0}simeq 0.05556 sigma^{5}$, which is comparable
with the Khlopov-Polnarev formula. We find that the production probability in
the matter-dominated era is much larger than that in the radiation-dominated
era for $sigmalesssim 0.05$, while they are comparable with each other for
$sigmagtrsim 0.05$. We also discuss how $sigma$ can be written in terms of
primordial curvature perturbations. | | Source: | arXiv, 1609.1588 | | Services: | Forum | Review | PDF | Favorites | |
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