论文标题
原始黑洞蒸发后立即产生重力波
Gravitational Wave Production right after a Primordial Black Hole Evaporation
论文作者
论文摘要
我们讨论了由标量扰动引起的随机重力波（GWS）上原始黑洞（PBHS）蒸发的足迹。我们考虑了PBHS曾经统治宇宙的情况，但最终在大爆炸核合成之前蒸发。与由粒子衰变引起的常规再加热相比，通过PBH蒸发的重新加热可能会随着宇宙状态方程的突然变化而结束。我们表明，PBH蒸发的这种“突然加热”增强了诱导的GW，其数量取决于PBH主导的ERA的长度和PBH质量函数的宽度。我们探索通过观察诱导的GWS来限制蒸发PBH的原始丰度的可能性。我们发现，丰度参数$β\ gtrsim 10^{ - 5} \ text { - } 10^{ - 8} $ for $ \ mathcal {o}（10^3 \ text { - } 10^5）\，\ text {g} $ pbH可以限制一个质量，如果将来可以限制一个质量，如果将来的质量较小，则一百个质量是一个范围。
We discuss the footprint of evaporation of primordial black holes (PBHs) on stochastic gravitational waves (GWs) induced by scalar perturbations. We consider the case where PBHs once dominated the Universe but eventually evaporated before the big bang nucleosynthesis. The reheating through the PBH evaporation could end with a sudden change in the equation of state of the Universe compared to the conventional reheating caused by particle decay. We show that this "sudden reheating" by the PBH evaporation enhances the induced GWs, whose amount depends on the length of the PBH-dominated era and the width of the PBH mass function. We explore the possibility to constrain the primordial abundance of the evaporating PBHs by observing the induced GWs. We find that the abundance parameter $β\gtrsim 10^{-5} \text{ - }10^{-8}$ for $\mathcal{O}(10^3 \text{ - } 10^5) \, \text{g}$ PBHs can be constrained by future GW observations if the width of the mass function is smaller than about a hundredth of the mass.
