Gravitational-Wave Constraints on the Abundance of Primordial Black Holes(Astrophysics and Cosmology)
Gravitational-Wave Constraints on the Abundance of Primordial Black Holes(Astrophysics and Cosmology)
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DOI：
10.1143/ptp.123.867
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发表时间：
2009-12
影响因子：
--
通讯作者：
R. Saito;J. Yokoyama
中科院分区：
文献类型：
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作者：
R. Saito;J. Yokoyama
我们研究了原始密度涨落引起的引力波(GWS)的特征，其中有一个与原始黑洞(PBH)形成相关的大幅度峰值。结果表明，在一定的波数范围内，感生GW的频谱对波数空间的峰值宽度不敏感，但频谱的幅度在峰值频率处减小，在较大的低频下衰减得更快。结合峰宽，还研究了GW幅度和PBH丰度之间的对应关系。我们发现，无论波峰宽度是否较小，空间激光干涉仪和原子干涉仪都可以探测到质量为10^{20-26}g的PBH。此外，我们通过比较GW谱的低频尾部和CMB观测得到了对超大质量PBH丰度的限制。
We investigate features of Gravitational Waves (GWs) induced by primordial density fluctuations with a large amplitude peak associated with formation of Primordial Black Holes (PBHs). It is shown that the spectrum of induced GW is insensitive to the width of the peak in wavenumber space provided it is below a certain value, but the amplitude of the spectrum reduces at the peak frequency and decreases faster at low frequencies for a larger width. A correspondence between the GW amplitude and PBH abundance is also investigated incorporating the peak width. We find that PBHs with masses 10^{20-26}g can be probed by space-based laser interferometers and atomic interferometers irrespective of whether the peak width is small or not. Further we obtain constraints on the abundance of the supermassive PBHs by comparing a low frequency tail of the GW spectrum with CMB observations.