论文标题
在两场模型的快速转弯的原始黑洞上
On Primordial Black Holes from Rapid Turns in Two-field Models
论文作者
论文摘要
我们研究了一类两场宇宙学模型的快速轨迹，它们的标量是庞加莱磁盘。多场通货膨胀的背景解决方案具有田间空间轨迹表现出尖锐的转弯，可以种子原始黑洞（PBH）形成。我们研究了具有隐藏对称性的一类精确溶液，并表明它们表现出诱导PBH产生的瞬时快速转变时期。此外，我们放松对称条件，并在某个方向上找到具有改进的Hubble $η$参数行为的修改解决方案，该解决方案保留了转弯速率函数所需的形状。有趣的是，修改后的解决方案描述了短暂的超慢滚动阶段，然后是长期慢速通胀。值得注意的是，与标准的$α$ Attractor案件不同，慢慢卷发生在庞加莱磁盘的中心附近（不在边界）附近。
We study rapid-turn trajectories in a class of two-field cosmological models, whose scalar manifold is the Poincaré disk. Background solutions in multi-field inflation, with field-space trajectories exhibiting sharp turns, can seed primordial black hole (PBH) formation. We investigate a class of exact solutions with hidden symmetry and show that they exhibit the kind of transient rapid-turn period, needed to induce PBH generation. Furthermore, we relax the symmetry condition and find, in a certain regime, modified solutions with improved behavior of the Hubble $η$-parameter, which preserve the desired shape of the turning rate function. Interestingly, the modified solutions describe a brief ultra-slow roll phase, followed by long-term slow roll inflation. It is notable that slow roll occurs near the center (not near the boundary) of the Poincaré disk, unlike in the standard $α$-attractor case.
