Note on gauge invariance of second order cosmological perturbations
Cosmology and Nongalactic Astrophysics
2021-10-20 v3 General Relativity and Quantum Cosmology
Abstract
We study the gauge invariant cosmological perturbations up to second order. We show that there are infinite families of gauge invariant variables at both of the first and second orders. The conversion formulae among different families are shown to be described by a finite number of bases that are gauge invariant. For the second order cosmological perturbations induced by the first order scalar perturbations, we explicitly represent the equations of motion of them in terms of the gauge invariant Newtonian, synchronous and hybrid variables, respectively.
Keywords
Cite
@article{arxiv.2009.11025,
title = {Note on gauge invariance of second order cosmological perturbations},
author = {Zhe Chang and Sai Wang and Qing-Hua Zhu},
journal= {arXiv preprint arXiv:2009.11025},
year = {2021}
}
Comments
v1: 31 pages. v2: Publised in Chinese Physics C