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arXiv · 1011.5272

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

Kouji Nakamura
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Abstract

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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BibTeXRIS

Kouji Nakamura. 2011-02-02. General formulation of general-relativistic higher-order gauge-invariant perturbation theory. https://doi.org/10.1088/0264-9381%2F28%2F12%2F122001

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