Multisymplectic formulation of vielbein gravity. De Donder-Weyl formulation, Hamiltonian (n-1)-forms
arXiv:1404.3546 · doi:10.1088/0264-9381/32/9/095005
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.
47 pages, 0 figure v4 Minor corrections. (notations more light)
References in corpus (3)
Cited by in corpus (16)
- Multisymplectic unified formalism for Einstein-Hilbert Gravity
- Covariant canonical formulations of classical field theories
- Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization
- Hamilton-Jacobi theory in multisymplectic classical field theories
- Multisymplectic Constraint Analysis of Scalar Field Theories, Chern-Simons Gravity, and Bosonic String Theory
- Unified formalism for Palatini gravity
- Covariant Momentum Map Thermodynamics for Parametrized Field Theories
- A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian
- Polysymplectic formulation for topologically massive Yang-Mills field theory
- A review on geometric formulations for classical field theory: the Bonzom-Livine model for gravity
- Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
- A Hamiltonian formalism for general variational problems, with applications to first order gravity with basis
- Clifford Algebraic approach to the De Donder-Weyl Hamiltonian theory
- Multisymplectic Formalism for Cubic Horndeski Theories
- Routh Reduction of Palatini Gravity in Vacuum
- Multisymplectic formulation of Lagrangian models in gravitation