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Jul 24, 2019 at 15:08 comment added AThomas Thank you very much Tobias! It would be nice if the diffeomorphism group $Diff(M)$ plays a role in the story since the moduli space of Einstein equations is the space of Riemannian metrics satisfying Einstein equation modulo the action of $Diff(M)$. It would be nice to get this moduli space as a symplectic reduction.
Jul 21, 2019 at 21:12 history answered Tobias Diez CC BY-SA 4.0