General framework of higher order gauge invariant perturbation theory
General Relativity and Quantum Cosmology
2007-05-23 v1 Astrophysics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Based on the gauge invariant variables proposed in [K. Nakamura, Prog. Theor. Phys. vol.110 (2003), 723.], general framework of the second order gauge invariant perturbation theory on arbitrary background spacetime is considered. We derived formulae of the perturbative Einstein tensor of each order, which have the similar form to the definitions of gauge invariant variables for arbitrary perturbative fields. As a result, each order Einstein equation is necessarily given in terms of gauge invariant variables.
Keywords
Cite
@article{arxiv.gr-qc/0402032,
title = {General framework of higher order gauge invariant perturbation theory},
author = {Kouji Nakamura},
journal= {arXiv preprint arXiv:gr-qc/0402032},
year = {2007}
}
Comments
Prepared for the proceeding of the 13th Workshop on General Relativity and Gravitation in Japan (Osaka City University). 4 pages, no figure, latex format