Analytic solutions of scalar perturbations induced by scalar perturbations. (arXiv:2008.12300v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Inomata_K/0/1/0/all/0/1">Keisuke Inomata</a>
We study scalar perturbations induced by scalar perturbations through the
non-linear interaction appearing at second order in perturbations. We derive
analytic solutions of the induced scalar perturbations in a perfect fluid. In
particular, we consider the perturbations in a radiation-dominated era and a
matter-dominated era. With the analytic solutions, we also discuss the power
spectra of the induced perturbations.
We study scalar perturbations induced by scalar perturbations through the
non-linear interaction appearing at second order in perturbations. We derive
analytic solutions of the induced scalar perturbations in a perfect fluid. In
particular, we consider the perturbations in a radiation-dominated era and a
matter-dominated era. With the analytic solutions, we also discuss the power
spectra of the induced perturbations.
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