Multisymplectic formulation of vielbein gravity. De Donder-Weyl formulation, Hamiltonian (n-1)-forms
Mathematical Physics
2015-12-14 v4 General Relativity and Quantum Cosmology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1404.3546,
title = {Multisymplectic formulation of vielbein gravity. De Donder-Weyl formulation, Hamiltonian (n-1)-forms},
author = {Dimitri Vey},
journal= {arXiv preprint arXiv:1404.3546},
year = {2015}
}
Comments
47 pages, 0 figure v4 Minor corrections. (notations more light)