论文标题
原始黑洞形成的阈值：简单的分析处方
The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
论文作者
论文摘要
当宇宙仍然以辐射为主时，可以在早期宇宙中形成原始的黑洞。从超级尺度的功率谱的形状开始，我们根据数值模拟的结果提供了一个简单的处方，以计算原始黑洞形成的阈值$Δ_C$。我们的过程考虑了高斯曲率扰动与密度对比之间的非线性，并且在文献中首次在地平线交叉处产生的非线性效应，这将阈值的值增加了大约在超级方向尺度上计算的一个因子。
Primordial black holes could have been formed in the early universe from non linear cosmological perturbations re-entering the cosmological horizon when the Universe was still radiation dominated. Starting from the shape of the power spectrum on superhorizon scales, we provide a simple prescription, based on the results of numerical simulations, to compute the threshold $δ_c$ for primordial black hole formation. Our procedure takes into account both the non linearities between the Gaussian curvature perturbation and the density contrast and, for the first time in the literature, the non linear effects arising at horizon crossing, which increase the value of the threshold by about a factor two with respect to the one computed on superhorizon scales.
