Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
General Relativity and Quantum Cosmology
2015-03-17 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into gauge-invariant and gauge-variant parts, which was the important premise of this general framework. This means that the development the higher-order gauge-invariant perturbation theory on generic background spacetime is possible.
Keywords
Cite
@article{arxiv.1012.1409,
title = {Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes},
author = {Kouji Nakamura},
journal= {arXiv preprint arXiv:1012.1409},
year = {2015}
}
Comments
4 pages, no figure, Prepared for the proceedings of 20th Workshop On General Relativity and Gravitation (Sept. 21 - Sept. 25, (2010), YITP Kyoto University, Japan)