论文标题
原始黑洞二进制的有效灵感旋转分布
Effective inspiral spin distribution of primordial black hole binaries
论文作者
论文摘要
我们研究了有效的灵感自旋，质量比和原始黑洞（PBH）二进制的呼叫质量的概率分布，并结合了引力崩溃的关键现象的影响。作为领先的顺序估计，假定每个二进制都是由两个PBH形成的，这些PBH是根据单个PBH的概率分布随机选择的。我们发现，尽管关键现象可能会导致低质量尾巴上的大型旋转，但二进制的有效灵感旋转在统计上很小，$ \ sqrt {\langleχ_{\ mathrm {eff}}}}^2 \ rangle}^2 \ rangle} = 8.41 = 8.41^times10^^{ - 4} $。我们还看到，有效的灵感自旋与质量比之间几乎没有反相关，这可以从观察结果中推断出来。
We investigate the probability distribution of the effective inspiral spin, the mass ratio, and the chirp mass of primordial black hole (PBH) binaries, incorporating the effect of the critical phenomena of gravitational collapse. As a leading order estimation, each binary is assumed to be formed from two PBHs that are randomly chosen according to the probability distribution of single PBHs. We find that, although the critical phenomena can lead to large spins on the low-mass tail, the effective inspiral spin of the binary is statistically very small, $\sqrt{\langleχ_{\mathrm{eff}}^2\rangle}=8.41\times10^{-4}$. We also see that there is almost no anti-correlation between the effective inspiral spin and the mass ratio, which can be inferred from observations.
