Abstract
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.
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Communicated by J. Ehlers
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Szczyrba, W. A symplectic structure on the set of Einstein metrics. Commun.Math. Phys. 51, 163–182 (1976). https://doi.org/10.1007/BF01609347
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DOI: https://doi.org/10.1007/BF01609347