PRIMORDIAL BLACK HOLE FORMATION IN THE MATTER-DOMINATED PHASE OF THE UNIVERSE
PRIMORDIAL BLACK HOLE FORMATION IN THE MATTER-DOMINATED PHASE OF THE UNIVERSE
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DOI：
10.3847/1538-4357/833/1/61
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发表时间：
2016-09
期刊：
影响因子：
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通讯作者：
T. Harada;Chul-Moon Yoo;K. Kohri;K. Nakao;S. Jhingan
中科院分区：
文献类型：
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作者：
T. Harada;Chul-Moon Yoo;K. Kohri;K. Nakao;S. Jhingan
我们研究了宇宙物质主导阶段的原始黑洞形成，其中引力坍缩中的非球形效应起着至关重要的作用。这与辐射主导时代的黑洞形成形成对比。应用Zel’dovich近似、Thorne’s hoop猜想和Doroshkevich’s概率分布，推导出了原始黑洞的产生概率。所得数值结果在视界入口密度波动σ为单位数量级时仍然适用。因为，我们找到了一个与Khlopov-Polnarev公式相当的半解析公式。我们发现物质主导时代的生产概率远大于辐射主导时代的生产概率，但两者之间具有可比性。我们还讨论了如何用原始曲率摄动来表示σ。
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 of primordial black holes. The numerical result obtained is applicable even if the density fluctuation σ at horizon entry is of the order of unity. For , we find a semi-analytic formula , which is comparable to 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 , while they are comparable with each other for . We also discuss how σ can be written in terms of primordial curvature perturbations.