论文标题

由局部型非高斯曲率扰动引起的引力波

Gravitational waves induced by the local-type non-Gaussian curvature perturbations

论文作者

Yuan, Chen, Huang, Qing-Guo

论文摘要

当前的观察约束仍然留下大量的质量窗口$ \ sim [10^{ - 16},10^{ - 14}] \ cup [10^{ - 13},10^{ - 12}] m_ \ odot $,用于原始黑孔(pbhs),代表了我们世界中所有的深色物质(dm)。曲率扰动引起的引力波(GWS)在这些PBH的形成过程中不可避免地产生,并落入丽莎的频带。即使以参数$ f _ {\ rm nl}为特征的二阶局部型非高斯性,即使考虑到二阶局部型非高斯性,也应该将这种标量引起的引力波(SIGW)肯定被丽莎检测到。 In this letter, we give a comprehensive analysis of the GWs induced by the local-type non-Gaussian curvature perturbations up to the third-order denoted by the non-linear parameter $G_{\rm NL}$, and find that a log-dependent slope of SIGWs in the infrared region is generically predicted and the amplitude of SIGWs can be further suppressed by several orders of magnitude.因此,Lisa对SIGW的无效检测不能排除构成所有DM的PBH的可能性。

The current observational constraints still leave a substantial mass window $\sim [10^{-16},10^{-14}] \cup [10^{-13},10^{-12}] M_\odot$ for primordial black holes (PBHs) representing all of dark matter (DM) in our Universe. The gravitational waves (GWs) induced by the curvature perturbations are inevitably generated during the formation of these PBHs, and fall in the frequency band of LISA. Such scalar induced gravitational waves (SIGWs) are supposed to be definitely detected by LISA even when the second-order local-type non-Gaussianity characterized by the parameter $F_{\rm NL}$ is taken into account. In this letter, we give a comprehensive analysis of the GWs induced by the local-type non-Gaussian curvature perturbations up to the third-order denoted by the non-linear parameter $G_{\rm NL}$, and find that a log-dependent slope of SIGWs in the infrared region is generically predicted and the amplitude of SIGWs can be further suppressed by several orders of magnitude. Therefore, the null-detection of SIGWs by LISA cannot rule out the possibility of PBHs making up all of DM.

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