1112.0821 (Kouji Nakamura)
Kouji Nakamura
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.
View original:
http://arxiv.org/abs/1112.0821
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