Abstract
Canonical variables for the generalized (non-metric) Einstein-Cartan theory of gravity are defined. The space of solutions is equipped with a closed differential 2-form Ω. The symplectic 2-form Ω has a diagonal representation in terms of canonical variables. A geometric interpretation of the canonical variables is presented and the 3+1 formulation of the field equations is given.
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Szczyrba, W. The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity. Commun.Math. Phys. 60, 215–232 (1978). https://doi.org/10.1007/BF01612890
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DOI: https://doi.org/10.1007/BF01612890