Multisymplectic formulation of vielbein gravity. De Donder-Weyl formulation, Hamiltonian (n-1)-forms

Understand

We consider the De Donder-Weyl (DW) Hamiltonian formulation of the Palatini 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.