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Related arguments can be found in W. Unruh, arXiv:astro-ph/9802323. There, the same expansion parameter is used for the metric perturbations and for the change in the gauge. Here we are considering an infinitessimal gauge transformation, while the metric perturbation is not necessarily small.
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For a discussion of possible nonperturbative effects leading to a conformal phase of gravity, see NJOPFM 1367-2630 10.1088/1367-2630/9/1/011
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