论文标题
通货膨胀和原始黑洞的电子模型
E-models of inflation and primordial black holes
论文作者
论文摘要
我们建议并研究新的(广义)E型$α$ a $ attractor的通货膨胀模型,以包括形成原始黑洞(PBHS)。充气电势具有违反缓慢滚动条件的近乎转化点,因此后来导致标量扰动崩溃了。在慢滚通膨胀的两个(更长)阶段之间存在一个超慢的卷(短)阶段。我们通过数值研究通货膨胀的阶段,得出标量扰动的功率谱并计算PBHS质量。对于参数的某些值,可以以$ 10^{17}÷10^{19} $ G形成小行星大小的PBH,超出了霍金蒸发限制,并且与当前的CMB观测值一致。这些PBH是当前宇宙中(一部分)暗物质的候选者,而PBHS形成引起的引力波可以通过未来的基于空间的重力干涉仪检测到。
We propose and study the new (generalized) E-type $α$-attractor models of inflation, in order to include formation of primordial black holes (PBHs). The inflaton potential has a near-inflection point where slow-roll conditions are violated, thus leading to large scalar perturbations collapsing to PBHs later. An ultra-slow roll (short) phase exists between two (longer) phases of slow-roll inflation. We numerically investigate the phases of inflation, derive the power spectrum of scalar perturbations and calculate the PBHs masses. For certain values of the parameters, the asteroid-size PBHs can be formed with the masses of $10^{17}÷10^{19}$ g, beyond the Hawking evaporation limit and in agreement with current CMB observations. Those PBHs are a candidate for (part of) dark matter in the present universe, while the gravitational waves induced by the PBHs formation may be detectable by the future space-based gravitational interferometers.