Abstract
We postulate the energy-momentum functionE for the ECSK theory of gravity and formulate the functional Hamiltonian equation in terms of the energy-momentum functionE and the symplectic 2-form Ω. The system of partial differential equations which follows from the functional Hamilton equation is equivalent to the system of variational equations of the ECSK theory. The Hamiltonian method gives rise to a natural division of these equations into 10 constraint equations and the set of dynamical equations. We discuss the geometric sense of the constraint equations and their relations to the initial value problem.
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Franckiewicz, K., Szczyrba, W. A Hamiltonian formulation of the Einstein-Cartan-Sciama-Kibble theory of gravity. Lett Math Phys 6, 31–42 (1982). https://doi.org/10.1007/BF02281167
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DOI: https://doi.org/10.1007/BF02281167