Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-12-05
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, no figures, jgrg21.sty is used. Prepared for the proceedings of the International Conference JGRG21 (2011, Sendai, Ja
Scientific paper
An outline of a proof of the decomposition of linear metric perturbations into gauge-invariant and gauge-variant parts on an arbitrary background spacetime which admits ADM decomposition is briefly discussed. We explicitly construct the gauge-invariant and gauge-variant parts of the linear metric perturbations based on some assumptions. This implies that we can develop the higher-order gauge-invariant perturbation theory on an arbitrary background spacetime.
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