Prospective constraints on the primordial black hole abundance from the stochastic gravitational-wave backgrounds produced by coalescing events and curvature perturbations
Prospective constraints on the primordial black hole abundance from the stochastic gravitational-wave backgrounds produced by coalescing events and curvature perturbations
复制标题
DOI：
10.1103/physrevd.99.103531
复制
发表时间：
2019-03
影响因子：
5
通讯作者：
Sai Wang;T. Terada;K. Kohri
中科院分区：
文献类型：
--
作者：
Sai Wang;T. Terada;K. Kohri
对于各种正在进行和计划中的引力波（GW）实验，我们通过评估两种随机引力波背景的能量密度谱，研究了暗物质中原始黑洞（PBHs）比例（${f}_{\mathrm{PBH}}$）的预期约束。第一个是由所有二元pbh聚并发出的gw的非相干叠加产生的。第二个是由大原始曲率扰动的非线性模式耦合引起的，这些扰动不可避免地与早期宇宙中pbh的产生有关。在本文中，我们主要关注质量为${10}^{\ensuremath{-}8}\text{ }\text{ }{M}_{\ensuremath{\bigodot}}\ensuremath{\le}{M}_{\mathrm{PBH}}l1\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$的pbh，因为它们不可能是恒星起源的。在几乎所有的质量范围内，我们表明实验足够灵敏，可以通过考虑合并事件的GWs来约束${10}^{\ensuremath{-}5}\ensuremath{\lesssim}{f}_{\mathrm{PBH}}\ensuremath{\lesssim}1$的分数，通过考虑曲率扰动的GWs来约束${10}^{\ensuremath{-}13}\ensuremath{\lesssim}{f}_{\mathrm{PBH}}\ensuremath{\lesssim}1$的分数。在特殊情况下，对于${f}_{\mathrm{PBH}}\ensuremath{\lesssim}{10}^{\ensuremath{-}3}$，分数不能仅在${M}_{\mathrm{PBH}}\ensuremath{\simeq}{10}^{\ensuremath{-}7}\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$附近的狭窄质量范围内受到这两个GW背景的约束。
For a variety of ongoing and planned gravitational-wave (GW) experiments, we study expected constraints on the fraction (${f}_{\mathrm{PBH}}$) of primordial black holes (PBHs) in dark matter by evaluating the energy-density spectra of two kinds of stochastic GW backgrounds. The first one is produced from an incoherent superposition of GWs emitted from coalescences of all of the binary PBHs. The second one is induced through nonlinear mode couplings of large primordial curvature perturbations inevitably associated with the generation of PBHs in the early Universe. In this paper, we focus on PBHs with masses ${10}^{\ensuremath{-}8}\text{ }\text{ }{M}_{\ensuremath{\bigodot}}\ensuremath{\le}{M}_{\mathrm{PBH}}l1\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$, since they are not expected to be of stellar origin. In almost all mass ranges, we show that the experiments are sensitive enough to constrain the fraction for ${10}^{\ensuremath{-}5}\ensuremath{\lesssim}{f}_{\mathrm{PBH}}\ensuremath{\lesssim}1$ by considering the GWs from coalescing events and ${10}^{\ensuremath{-}13}\ensuremath{\lesssim}{f}_{\mathrm{PBH}}\ensuremath{\lesssim}1$ by considering the GWs from curvature perturbations. Exceptionally, the fraction cannot be constrained for ${f}_{\mathrm{PBH}}\ensuremath{\lesssim}{10}^{\ensuremath{-}3}$ by these two GW backgrounds only in the narrow mass range around ${M}_{\mathrm{PBH}}\ensuremath{\simeq}{10}^{\ensuremath{-}7}\text{ }\text{ }{M}_{\ensuremath{\bigodot}}$.