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Jul 22, 2019 at 8:47 comment added მამუკა ჯიბლაძე @PeterMichor Being next to ignorant of the field I might be completely off mark, but some work of Anton Zeitlin (see some links at his home page, e. g. these slides) seems to express Einstein equations through Maurer-Cartan equations, which in turn seem to give rise to certain moment maps (seen this in a paper by Gan and Ginzburg, section 1.5). Does my comment make any sense?
Jul 21, 2019 at 21:12 answer added Tobias Diez timeline score: 3
Jul 19, 2019 at 19:11 comment added Peter Michor Einstein' equation takes values in $\Gamma(S^2T^*M)$. So this should be the dual of a Lie algebra in some sense. Prime candidate is $\Gamma(S^2TM)$ with bracket $[X_1\vee X_1,Y_1\vee Y_2] = ?$ The natural bracket would take values in $\Gamma(S^3TM)$ and is part of a graded bracket. So I do not think there is an obvious natural interpretation.
Jul 19, 2019 at 14:46 history asked AThomas CC BY-SA 4.0