论文标题
狄拉克出生的触觉实现原始黑洞的音速共振机制
Dirac-Born-Infeld realization of sound speed resonance mechanism for primordial black holes
论文作者
论文摘要
我们介绍了在特定模型的Dirac-Born-Infeld（DBI）通货膨胀模型中原始黑洞（PBH）形成的声速共振（SSR）机制的具体实现。我们在现象学上执行一种扰动方法，构建了这种可行的DBI通胀模型，该模型涉及非振荡阶段和振荡阶段，具有特定形式的扭曲因子和潜力。我们表明，两个阶段之间声速的连续但非平滑的结合不会对SSR的现象学产生明显的影响，因此，我们的模型产生了与SSR的原始预测相同的PBH质谱。此外，我们还证明了Mukhanov-Sasaki方程的绝热性违反了非共振区域哈勃杂交后的弯曲曲率扰动。利用观察数据，我们在参数空间上得出了各种宇宙学的约束。我们的分析表明，预测的张量表比率通常很小，而原始非高斯的振幅可以与宇宙微波背景界限相遇，此外，由于小小的声音速度变化，单场慢速通货膨胀的一致性在我们的情况下被软违反。
We present a concrete realization of the sound speed resonance (SSR) mechanism for primordial black hole (PBH) formation within a specific model of Dirac-Born-Infeld (DBI) inflation. We perform a perturbative approach to phenomenologically construct such a viable DBI inflation model that involves the nonoscillating stage and the oscillating stage, with a type of specific forms of the warp factor and the potential. We show that the continuous but nonsmooth conjunction of sound speed between two stages does not yield manifest effects on the phenomenology of SSR, and thus, our model gives rise to the same PBH mass spectrum as the original predictions of SSR. Additionally, we also demonstrate that the violation of adiabaticity of the Mukhanov-Sasaki equation does not affect the comoving curvature perturbation after Hubble crossing in the nonresonant region. Making use of observational data, we derive various cosmological constraints on the parameter space. Our analyses show that the predicted tensor-to-scalar ratio is typically small, while the amplitude of primordial non-Gaussianity can meet with cosmic microwave background bounds, and additionally, the consistency relation for single-field slow-roll inflation is softly violated in our case due to the small sound speed variations.
