论文标题
霍金蒸发对PBH分布的影响
Effects of Hawking evaporation on PBH distributions
论文作者
论文摘要
原始的黑洞（PBHS）可能会因蒸发而失去质量。对于足够小的PBH，到目前为止，它们可能会失去大部分的地层质量，或者如果它们用质量$ M <m_ \ mathrm {Crit} \ sim5 \ sim5 \ times10^{14}〜\ mathrm {g Mathrm {g} $完全蒸发。我们研究了这种质量损失对扩展PBH分布的影响，表明分布的形状在形成和今天之间发生了显着变化。我们以正确的“进化”对数正态分布的形式重新考虑了银河系中心对PBH暗物质的$γ$ ray约束，并得出了半分析时间依赖性分布，可用于将单色约束投影到扩展分布约束。我们还以每年银河系的方式得出了黑洞爆炸的速度，发现尽管可能有很大的数量，但很可能会发现一个足够靠近地球的人以观察。除了关于为什么单色PBH分布不太可能采取爆炸PBH人群的更仔细的论点外，我们（不幸的是）得出的结论是，我们不太可能见证任何PBH爆炸。
Primordial black holes (PBHs) may lose mass by Hawking evaporation. For sufficiently small PBHs, they may lose a large portion of their formation mass by today, or evaporate completely if they form with mass $M<M_\mathrm{crit}\sim5\times10^{14}~\mathrm{g}$. We investigate the effect of this mass loss on extended PBH distributions, showing that the shape of the distribution is significantly changed between formation and today. We reconsider the $γ$-ray constraints on PBH dark matter in the Milky Way center with a correctly `evolved' lognormal distribution, and derive a semi-analytic time-dependent distribution which can be used to accurately project monochromatic constraints to extended distribution constraints. We also derive the rate of black hole explosions in the Milky Way per year, finding that although there can be a significant number, it is extremely unlikely to find one close enough to Earth to observe. Along with a more careful argument for why monochromatic PBH distributions are unlikely to source an exploding PBH population today, we (unfortunately) conclude that we are unlikely to witness any PBH explosions.
