论文标题
对原始黑洞和标量引起的重力波的原始曲率光谱的限制
Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves
论文作者
论文摘要
原始黑洞和标量引起的重力波的观察数据可以限制小尺度上的原始曲率扰动。我们通过断裂的功率定律形式对原始曲率扰动进行参数化,并发现它与许多可以产生原始黑洞的通货膨胀模型一致,例如非微生导数耦合膨胀,标量张量膨胀,高斯 - 波纳内特膨胀和K/g膨胀。从原始曲率功率谱上的原始黑洞中获得的约束,获得了损坏的功率定律形式,其中暗物质中原始黑孔的比例由峰值理论计算出来。都考虑了真正的空间顶帽和高斯窗口函数。 Gauss窗口功能的原始曲率扰动幅度的限制比具有真实空间顶帽窗口函数的约束大约三倍。显示了来自Nanograv 12.5yrs数据集的原始曲率扰动的约束,其中假定纳米格拉夫信号作为标量引起的重力波,仅使用前五个频率箱。
The observational data of primordial black holes and scalar-induced gravitational waves can constrain the primordial curvature perturbation at small scales. We parameterize the primordial curvature perturbation by a broken power law form and find that it is consistent with many inflation models that can produce primordial black holes, such as nonminimal derivative coupling inflation, scalar-tensor inflation, Gauss-Bonnet inflation, and K/G inflation. The constraints from primordial black holes on the primordial curvature power spectrum with the broken power law form are obtained, where the fraction of primordial black holes in dark matter is calculated by the peak theory. Both the real-space top-hat and the Gauss window functions are considered. The constraints on the amplitude of primordial curvature perturbation with Gauss window function are around three times larger than those with real-space top-hat window function. The constraints on the primordial curvature perturbation from the NANOGrav 12.5yrs data sets are displayed, where the NANOGrav signals are assumed as the scalar-induced gravitational waves, and only the first five frequency bins are used.