Exact non-linear equations for cosmological perturbations
General Relativity and Quantum Cosmology
2017-10-23 v3 Cosmology and Nongalactic Astrophysics
Abstract
We present a complete set of exact and fully non-linear equations describing all three types of cosmological perturbations -- scalar, vector and tensor perturbations. We derive the equations in a thoroughly gauge-ready manner, so that any spatial and temporal gauge conditions can be employed. The equations are completely general without any physical restriction except that we assume a flat homogeneous and isotropic universe as a background. We also comment briefly on the application of our formulation to the non-expanding Minkowski background.
Cite
@article{arxiv.1706.07753,
title = {Exact non-linear equations for cosmological perturbations},
author = {Jinn-Ouk Gong and Jai-chan Hwang and Hyerim Noh and David Wu and Jaiyul Yoo},
journal= {arXiv preprint arXiv:1706.07753},
year = {2017}
}
Comments
(v1) 10 pages, 1 table; (v2) important update to employ any spatial gauge condition; (v3) more discussions, to appear in Journal of Cosmology and Astroparticle Physics