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

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

2010-12-07

arxiv.org/abs/1012.1409v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figure, Prepared for the proceedings of 20th Workshop On General Relativity and Gravitation (Sept. 21 - Sept. 25,

Scientific paper

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.

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