Gravitational waves from primordial scalar and tensor perturbations

Abstract

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 $k$ $\left(k>k_{\ast }\right)$, 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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Cited by in corpus (13)

• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• Gravitational waves induced by scalar-tensor mixing
• Missing one-loop contributions in secondary gravitational waves
• Induced gravitational waves: the effect of first order tensor perturbations
• Primordial Gravitational Waves Assisted by Cosmological Scalar Perturbations
• Scalar induced gravitational waves in chiral scalar-tensor theory of gravity
• Fundamental Physics and Cosmology with TianQin
• Multiple peaks in gravitational waves induced from primordial curvature perturbations with non-Gaussianity
• Non-Gaussianities and Primordial Black Holes
• Primordial gravitational waves and curvature perturbations induced energy density perturbation
• Scalar-induced gravitational waves in spatially covariant gravity
• Smearing of primordial gravitational waves
• Observable Gravitational Wave Strain at Second Order