论文标题
来自原始黑洞波动引起的引力波：扩展质量功能的影响
Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
论文作者
论文摘要
最初泊松分布的原始黑洞（PBH）的引力潜力可以在宇宙学扰动理论中以二阶诱导随机重力波背景（SGWB）。以前通过假设单色PBH质量函数来研究该SGWB在一般相对论（GR）和修饰的重力设置的背景下进行了研究。在这里，我们通过在PBH具有不同质量的更现实的状态中研究上述SGWB来扩展先前的分析。特别是，从宇宙学动机的原始曲率功率谱从运行频谱指数开始，我们提取了扩展的PBH质量函数以及与IT的PBH重力潜力相关的，该电位充当标量引起的SGWB的来源。最后，考虑到从PBH驱动到辐射时代的物质时代的过渡期间，PBH引力电位的动态演变，我们提取了当今各自的GW信号。 Interestingly, in order to trigger an early PBH-dominated era and avoid the GW constraints at BBN we find that the running of the spectral index $α_\mathrm{s}$ of our primordial curvature power spectrum should be within the narrow range $α_\mathrm{s}\in[3.316,3.355]\times 10^{-3}$ while at the same time发现GW信号可以通过LISA检测到。
The gravitational potential of initially Poisson distributed primordial black holes (PBH) can induce a stochastic gravitational-wave background (SGWB) at second order in cosmological perturbation theory. This SGWB was previously studied in the context of general relativity (GR) and modified gravity setups by assuming a monochromatic PBH mass function. Here we extend the previous analysis in the context of GR by studying the aforementioned SGWB within more physically realistic regimes where PBHs have different masses. In particular, starting from a power-law cosmologically motivated primordial curvature power spectrum with a running spectral index we extract the extended PBH mass function and the associated to it PBH gravitational potential which acts as the source of the scalar induced SGWB. At the end, by taking into account the dynamical evolution of the PBH gravitational potential during the transition from the matter era driven by PBHs to the radiation era we extract the respective GW signal today. Interestingly, in order to trigger an early PBH-dominated era and avoid the GW constraints at BBN we find that the running of the spectral index $α_\mathrm{s}$ of our primordial curvature power spectrum should be within the narrow range $α_\mathrm{s}\in[3.316,3.355]\times 10^{-3}$ while at the same time the GW signal is found to be potentially detectable by LISA.
