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arXiv 2202.01028astro-ph.COgr-qc
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大负非高斯性原初黑洞的模拟

Simulation of Primordial Black Holes with large negative non-Gaussianity

Albert Escrivà, Yuichiro Tada, Shuichiro Yokoyama, Chul-Moon Yoo

摘要:

在本工作中,我们对充满辐射流体的Friedman-Lemaintre-Robertson-Walker宇宙中的原初黑洞(PBH)的形成过程进行了数值模拟.我们已经比较了数值模拟的结果与以前的分析估计的阈值PBH形成在以前的文件arXiv:2109.00791,特别是为负值的非线性参数$f_{\rm NL}$。我们的数值结果表明PBH形成的(所谓的)I型也在情况下$f_{\rm NL} \lesssim -0.336$,这是没有发现在以前的分析预期使用的临界平均压实功能。特别是,虽然普遍的平均临界压实函数$\bar{\mathcal{C}}_{c}=2/5$的值在文献中发现以前不满足所有的配置文件中考虑这项工作,一个替代的直接分析估计已被发现是大致准确的估计阈值,这给出了一些$\%$偏离数值$f_{\rm NL}\gtrsim -1$的临界平均密度的值。

英文摘要:

In this work, we have performed numerical simulations of primordial black hole (PBH) formation in the Friedman-Lemaître-Robertson-Walker universe filled by radiation fluid, introducing the local-type non-Gaussianity to the primordial curvature fluctuation. We have compared the numerical results from simulations with previous analytical estimations on the threshold value for PBH formation done in the previous paper arXiv:2109.00791, particularly for negative values of the non-linearity parameter $f_{\rm NL}$. Our numerical results show the existence of PBH formation of (the so-called) type I also in the case $f_{\rm NL} \lesssim -0.336$, which was not found in the previous analytical expectations using the critical averaged compaction function. In particular, although the universal value for the averaged critical compaction function $\bar{\mathcal{C}}_{c}=2/5$ found previously in the literature is not satisfied for all the profiles considered in this work, an alternative direct analytical estimate has been found to be roughly accurate to estimate the thresholds, which gives the value of the critical averaged density with a few $\%$ deviation from the numerical one for $f_{\rm NL}\gtrsim -1$.

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