The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity

Details The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cmaph..60..215s&link_type=abstract

Communications in Mathematical Physics, Volume 60, Issue 3, pp.215-232

Mathematics

Mathematical Physics

5

Scientific paper

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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