论文标题
朝向原始的黑洞形成阈值，在时间依赖的状态方程背景下
Toward the primordial black hole formation threshold in a time-dependent equation-of-state background
论文作者
论文摘要
对原始黑洞（PBH）重力崩溃过程的研究需要确定临界能量密度扰动阈值$Δ_\ MATHRM {C} $，该$取决于PBH形成时宇宙状态的方程。到目前为止，大多数分析和数值技术通过在PBH组时假设一个常数状态方程（EOS）参数$ w $来计算$δ_\ Mathrm {C} $。在这项工作中，在概括了[1]的常数$ w $处方后，用于计算$δ_\ mathrm {c} $的计算，并在评论其限制时，我们给出了PBH阈值的第一个估算值。特别是，在QCD相变的情况下，我们应用了形式主义，因为EOS参数随时间而变化很大，并且人们期望由于$ w $的突然软化而导致PBH产生增强。最后，我们将结果与分析方法和数值方法进行比较，以确定$Δ_\ mathrm {c} $假设存在常数EOS参数。
The study of the primordial black hole (PBH) gravitational collapse process requires the determination of a critical energy density perturbation threshold $δ_\mathrm{c}$, which depends on the equation of state of the universe at the time of PBH formation. Up to now, the majority of analytical and numerical techniques calculate $δ_\mathrm{c}$ by assuming a constant equation-of-state (EoS) parameter $w$ at the time of PBH formation. In this work, after generalizing the constant $w$ prescription of [1] for the computation of $δ_\mathrm{c}$ and commenting its limitations we give a first estimate for the PBH threshold in the case of a time-dependent $w$ background. In particular, we apply our formalism in the case of the QCD phase transition, where the EoS parameter varies significantly with time and one expects an enhanced PBH production due to the abrupt softening of $w$. At the end, we compare our results with analytic and numerical approaches for the determination of $δ_\mathrm{c}$ assuming a constant EoS parameter.
