http://arxiv.org/abs/2204.09237
The scalar induced gravitational waves are produced from primordial curvature perturbations in the second order of perturbations. We constrain the fractional energy density of scalar induced gravitational waves from gravitational waves observations. If there is no detection of the scalar induced gravitational waves, the fractional energy density of scalar induced gravitational waves is constrained by some upper limits. Depends on these upper limits, we can obtain the constraints on the power spectrum of the primordial curvature perturbations. For a power-law scalar power spectrum, the constraints from FAST project have a significant impact on the amplitude and spectral index, namely $\ln(10^{10}A_s)=3.024^{+0.015}{-0.012}$ and $n_s=0.9468^{+0.0010}{-0.0007}$ at $68\%$ confidence level. We also consider the effects of LIGO, Virgo, LISA and IPTA detectors, while the constraints from CMB+BAO are totally within their upper limits of scalar induced gravitational waves.
J. Li and G. Guo
Thu, 21 Apr 22
54/73
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