Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
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DOI：
10.1103/physrevd.99.123501
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发表时间：
2019-03
影响因子：
5
通讯作者：
M. Kawasaki;Hiromasa Nakatsuka
中科院分区：
文献类型：
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作者：
M. Kawasaki;Hiromasa Nakatsuka
我们研究了密度和曲率扰动之间的非线性关系对PBH形成的影响。通过计算密度扰动的方差和偏度，我们得到了非高斯性质。作为一个标准PBH的形成，使用的压缩函数，它被发现，需要较大的曲率扰动，由于非线性效应。我们估计PBH丰度的基础上的Press-Schechter形式主义与非高斯概率密度函数在辐射占主导地位的时代。研究发现，非线性效应对PBH的形成有轻微的抑制作用，并且这种抑制作用与原始曲率扰动具有局部非高斯形式且非线性参数为$f\text{NL} \sim-1 $时的抑制作用相当.
We study the effect of the nonlinear relation between density and curvature perturbations on the formation of PBHs. By calculating the variance and skewness of the density perturbation we derive the non-Gaussian property. As a criterion for PBH formation, the compaction function is used and it is found that larger curvature perturbations are required due to the nonlinear effect. We estimate the PBH abundance based on the Press-Schechter formalism with non-Gaussian probability density function during Radiation dominated era. It is found that the nonlinear effect slightly suppresses the PBH formation and the suppression is comparable to that expected if the primordial curvature perturbation would have the local form of non-Gaussianity with nonlinear parameter $f_\text{NL} \sim -1$.