论文标题
非线性过度密度统计对原始黑洞丰度的影响
Impact of nonlinear overdensity statistics on primordial black hole abundance
论文作者
论文摘要
最近已经确定，如果考虑到过度密度扰动和曲率扰动之间的非线性关系，则在过度密度统计量中引入了非高斯性，从而改变了预期的原始黑洞丰度。通过使用过度残基和曲率扰动之间的非线性关系，直至二阶探索这一点，在这种情况下，负偏度和阳性峰度旨在降低和增加丰度，而与高斯扰动相当的丰度则是通过调节曲率功率的幅度来获得的。使用玩具模型Dirac Delta和log Normal曲率功率谱以及从能够原始黑洞生产的$α-$吸引子模型中获得的一种玩具模型Dirac Delta和log Normal曲率功率谱，研究了非变化偏度和峰度的效果。最后，将使用新闻技术的非线性计算与峰值理论进行了比较。
It has been recently established that, if the nonlinear relationship between the overdensity perturbations and the curvature perturbations are taken into account, non-Gaussianity is introduced in the overdensity statistics which alters the expected primordial black hole abundance. This is explored by using the nonlinear relationship between the overdensities and curvature perturbations up to second order where a negative skewness and positive kurtosis aims at lowering and increasing the abundance while an abundance comparable to Gaussian perturbations is obtained by adjusting the amplitude of the curvature power spectrum. The effects of the nonvanishing skewness and kurtosis are studied using a toy model Dirac delta and lognormal curvature power spectra as well as one obtained from an $α-$attractor model capable of primordial black hole production. Finally, the nonlinear calculations using Press-Schechter are compared with peaks theory.
