论文标题
Starobinsky的线性电势模型中的原始黑洞形成
Primordial Black Hole Formation in Starobinsky's Linear Potential Model
论文作者
论文摘要
我们研究了模型中共同曲率扰动$ \ cal r $的功率谱，该模型粘合了不同斜率的两个线性电势，最初是由Starobinsky提出的。我们发现，增强功率谱在连接尺寸的$π$乘以时达到最大值。峰值为$ \ sim2.61 $倍，比紫外线高原大。我们还表明，一旦我们仅考虑仅考虑非single-clock阶段的贡献，就可以通过恒定滚动模型来很好地近似其近峰行为。这样的突然过渡到非吸收器相可以在标量引起的重力波的能量光谱中留下一些有趣的特征，如果在如此高峰值上产生的原始黑洞是所有的，它们都是所有的暗物质。
We study the power spectrum of the comoving curvature perturbation $\cal R$ in the model that glues two linear potentials of different slopes, originally proposed by Starobinsky. We find that the enhanced power spectrum reaches its maximum at the wavenumber which is $π$ times the junction scale. The peak is $\sim2.61$ times larger than the ultraviolet plateau. We also show that its near-peak behavior can be well approximated by a constant-roll model, once we define the effective ultra-slow-roll $e$-folding number appropriately by considering the contribution from non-single-clock phase only. Such an abrupt transition to non-attractor phase can leave some interesting characteristic features in the energy spectrum of the scalar-induced gravitational waves, which are detectable in the space-borne interferometers if the primordial black holes generated at such a high peak are all the dark matter.
