A note on the (non-)conservation of curvature perturbation
General Relativity and Quantum Cosmology
2023-02-22 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
In this note, we compare two different definitions for the cosmological perturbation which is conserved on large scales, and study their non-conservation on small scales. We derive an equation for the time evolution of the curvature perturbation on a uniform density slice through a calculation solely in longitudinal (conformal-Newtonian) gauge. The result is concise and compatible with that obtained via local conservation of energy-momentum tensor.
Keywords
Cite
@article{arxiv.2208.07568,
title = {A note on the (non-)conservation of curvature perturbation},
author = {Chia-Min Lin},
journal= {arXiv preprint arXiv:2208.07568},
year = {2023}
}
Comments
9 pages, version to be published in the Chinese Journal of Physics