Communications in Mathematical Physics

, Volume 51, Issue 2, pp 163–182

A symplectic structure on the set of Einstein metrics

A canonical formalism for General Relativity
  • Wiktor Szczyrba

DOI: 10.1007/BF01609347

Cite this article as:
Szczyrba, W. Commun.Math. Phys. (1976) 51: 163. doi:10.1007/BF01609347


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.

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Wiktor Szczyrba
    • 1
  1. 1.Institute of MathematicsPolish Academy of SciencesWarsawPoland