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Sep 3, 2021 at 9:15 comment added Andrew Steane @mster8390 yes.
Sep 3, 2021 at 9:15 comment added mster8390 OK, so then just to make sure I understand. The perturbed metric is what is logically/mathematically correct, but we can approximate it with the unperturbed metric. As always, we need to make sure that the approximation is appropriate for the order to which we are doing our calculation. If we needed to do a calculation correct to nth order then we would need to use the perturbed metric or retain up to n orders in h.
Sep 3, 2021 at 9:09 history answered Andrew Steane CC BY-SA 4.0