General formulation of general-relativistic higher-order gauge-invariant perturbation theory

Details General formulation of general-relativistic higher-order gauge-invariant perturbation theory General formulation of general-relativistic higher-order gauge-invariant perturbation theory

2010-11-24

arxiv.org/abs/1011.5272v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figure. (v3) some explanations are added and a reference is added

Scientific paper

Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant perturbation theory, we show the fact that the linear-order metric perturbation is decomposed into gauge-invariant and gauge-variant parts, which was the important premis of this general framework. This means that the development the higher-order gauge-invariant perturbation theory on generic background spacetime is possible. A remaining issue to be resolve is also disscussed.

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