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2022

Gravitational waves from primordial scalar and tensor perturbations

Chang, Zhe, Zhang, Xukun, Zhou, Jing-Zhi

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We investigate the second order gravitational waves induced by the primordial scalar and tensor perturbations during radiation-dominated era.

The explicit expressions of the power spectra of the second order GWs are presented.
We calculate the energy density spectra of the second order GWs for a monochromatic primordial power spectra.
For large $k$ $\left( k>k_* \right)$, the effects of the primordial tensor perturbation with tensor-to-scalar ratio $r=A_{h}/A_{\zeta}=0.2$ lead to an around $50\% $ increase of the signal-to-noise ratio (SNR) for LISA observations.

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