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arXiv 2109.04896astro-ph.COgr-qc
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具有完全数值相对论的原初黑洞形成

Primordial black hole formation with full numerical relativity

Eloy de Jong, Josu C. Aurrekoetxea, Eugene A. Lim

摘要:

利用3+ 1维相对论数值模拟研究了物质支配宇宙中超视界和超视界扰动下黑洞的形成。我们发现,有两个主要的形成机制取决于初始扰动的质量和几何形状-通过初始过密度的$\textit{direct collapse}$和通过周围的暗物质的$\textit{post-collapse accretion}$。特别是,对于后一种情况,初始扰动不必满足形成黑洞的环猜想。在这两种情况下,形成过程的持续时间大约是哈勃时间,黑洞的初始质量是$M_\mathrm{BH} \sim 10^{-2} H^{-1} M_\mathrm{Pl}^2$。形成后,我们发现,PBH经历快速的质量增长超过自相似的限制$M_\mathrm{BH}\propto H^{-1}$,至少在最初。我们认为,这意味着大部分的最终质量的PBH是从其周围环境后形成的吸积。

英文摘要:

We study the formation of black holes from subhorizon and superhorizon perturbations in a matter dominated universe with 3+1D numerical relativity simulations. We find that there are two primary mechanisms of formation depending on the initial perturbation's mass and geometry -- via $\textit{direct collapse}$ of the initial overdensity and via $\textit{post-collapse accretion}$ of the ambient dark matter. In particular, for the latter case, the initial perturbation does not have to satisfy the hoop conjecture for a black hole to form. In both cases, the duration of the formation the process is around a Hubble time, and the initial mass of the black hole is $M_\mathrm{BH} \sim 10^{-2} H^{-1} M_\mathrm{Pl}^2$. Post formation, we find that the PBH undergoes rapid mass growth beyond the self-similar limit $M_\mathrm{BH}\propto H^{-1}$, at least initially. We argue that this implies that most of the final mass of the PBH is accreted from its ambient surroundings post formation.

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