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Article Dans Une Revue Classical and Quantum Gravity Année : 2015

Multisymplectic formulation of vielbein gravity

Résumé

We consider the De Donder-Weyl (DW) Hamiltonian formulation of the Pala-tini action of vielbein gravity formulated in terms of the solder form and spin connection, which are treated as independent variables. The basic geometrical constructions necessary for the DW Hamiltonian theory of vielbein gravity are presented. We reproduce the DW Hamilton equations in the multisymplectic and pre-multisymplectic formulations. We also give basic examples of Hamiltonian (n − 1)-forms and related Poisson brackets.
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Dates et versions

hal-01242074 , version 1 (11-12-2015)

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Dimitri Vey. Multisymplectic formulation of vielbein gravity: I. De Donder-Weyl formulation, Hamiltonian (n-1)-forms. Classical and Quantum Gravity, 2015, 32, pp.095005. ⟨10.1088/0264-9381/32/9/095005⟩. ⟨hal-01242074⟩
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