Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes

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.

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)