Alternative construction of gauge-invariant variables for linear metric perturbation on general background spacetime
General Relativity and Quantum Cosmology
2011-03-17 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Construction of the gauge-invariant variables for the linear metric perturbation, which was proposed in the paper [K. Nakamura, arXiv:1101.1147], is discussed through an alternative approach. Our starting point of the construction of the gauge-invariant variables is an non-trivial non-local decomposition of the linear metric perturbation. Assuming the existence of some Green functions, we reproduce results in the above paper. This supports the consistency of the result and implies that one can develop the general-relativistic higher-order gauge-invariant perturbation theory on general background spacetime.
Keywords
Cite
@article{arxiv.1103.3092,
title = {Alternative construction of gauge-invariant variables for linear metric perturbation on general background spacetime},
author = {Kouji Nakamura},
journal= {arXiv preprint arXiv:1103.3092},
year = {2011}
}
Comments
8 pages, no figure