A symplectic structure on the set of Einstein metrics
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- Szczyrba, W. Commun.Math. Phys. (1976) 51: 163. doi:10.1007/BF01609347
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A symplectic structure i.e. a symplectic form Γ on the set of all solutions of the Einstein equations on a given 4-dimensional manifold is defined. A degeneracy distribution of Γ is investigated and its connection with an action of the diffeomorphism group is established. A multiphase formulation of General Relativity is presented. A superphase space for General Relativity is proposed.