Analytic solutions of scalar perturbations induced by scalar perturbations
General Relativity and Quantum Cosmology
2021-03-17 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.2008.12300,
title = {Analytic solutions of scalar perturbations induced by scalar perturbations},
author = {Keisuke Inomata},
journal= {arXiv preprint arXiv:2008.12300},
year = {2021}
}
Comments
37 pages, 7 figures, v2: version published in JCAP, paragraph structure changed