Second order scalar perturbations induced by primordial curvature and tensor perturbations

Second order scalar perturbations induced by primordial curvature and tensor perturbations by Zhe Changa et al. on Tuesday 22 November The primordial perturbations will inevitably generate higher order perturbations. We study the second order scalar perturbations generated by the primordial curvature and tensor perturbations in the radiation-dominated era. After presenting all the possible second-order source terms, we obtain the explicit expressions of the kernel functions and the power spectra of the second order scalar perturbations. The contributions from the initial second-order perturbations are considered. We calculate the power spectra of second order scalar perturbations for different tensor-to-scalar ratio $r$. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.11948v1