论文标题
约束$ f（r）$弹跳宇宙学用原始黑洞
Constraining $F(R)$ bouncing cosmologies with primordial black holes
论文作者
论文摘要
可以使用原始黑洞（PBH）物理学和相关PBH丰度约束的现象学来探测早期宇宙的物理。在这项工作中，我们通过研究早期F（r）修饰的重力阶段的效果和弹跳行为来研究标准辐射主导的时代的PBH形成，以避免最初的时空奇异性问题。特别是，我们在峰值理论的背景下计算地平线越过时间的能量密度频谱，然后在峰值理论的背景下提取PBH的丰度，这是我们$ f（r）$ feverity Bugity Bouncing模型的参数$α$的函数。有趣的是，我们发现，为了避免GW在大爆炸核合成之前的PBH早期占主导地位（BBN）之前，$α$应该在$α\ leq 10^{ - 19} M^2_ 2_ \ Mathrm {pl} $之内。在热爆炸（HBB）阶段开始时，该约束可以转化为对能量量表的约束，$ h_ \ mathrm {rd} \ sim \ sim \sqrtα/2 $，可以重新铸造为$ h_ \ mathrm {rd} <10^{ - 10^{ - 10} { - 10} m_ \ mathrm {pl mathrm {pl mathrm {pl} $。
The phenomenology of primordial black hole (PBH) physics and the associated PBH abundance constraints, can be used in order to probe the physics of the early Universe. In this work, we investigate the PBH formation during the standard radiation-dominated era by studying the effect of an early F(R) modified gravity phase with a bouncing behavior which is introduced to avoid the initial spacetime singularity problem. In particular, we calculate the energy density power spectrum at horizon crossing time and then we extract the PBH abundance in the context of peak theory as a function of the parameter $α$ of our $F(R)$ gravity bouncing model at hand. Interestingly, we find that in order to avoid GW overproduction from an early PBH dominated era before Big Bang Nucleosynthesis (BBN), $α$ should lie within the range $α\leq 10^{-19}M^2_\mathrm{Pl}$. This constraint can be translated to a constraint on the energy scale at the onset of the Hot Big Bang (HBB) phase, $H_\mathrm{RD}\sim \sqrtα/2$ which can be recast as $H_\mathrm{RD}< 10^{-10}M_\mathrm{Pl}$.
