# A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity

@article{BerraMontiel2021ARO, title={A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity}, author={Jasel Berra-Montiel and Alberto Molgado and Angel Rodr'iguez-L'opez}, journal={Classical and Quantum Gravity}, year={2021}, volume={38} }

Motivated by the study of physical models associated with general relativity, we review some finite-dimensional, geometric and covariant formulations that allow us to characterize in a simple manner the symmetries for classical field theory by implementing an appropriate fibre-bundle structure, either at the Lagrangian, the Hamiltonian multisymplectic or the polysymplectic levels. In particular, we are able to formulate Noether’s theorems by means of the covariant momentum maps and to…

## 4 Citations

### Towards Precanonical Quantum Teleparallel Gravity

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The covariant Hamilton-Jacobi formulation of Maxwell’s equations is derived from the ﬁrst-order (Palatini-like) Lagrangian using the analysis of constraints within the De Donder-Weyl covariant…

### The Geometry of the solution space of first order Hamiltonian field theories I: from particle dynamics to free Electrodynamics

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- Mathematics, PhysicsSymmetry
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As the space of solutions of the first-order Hamiltonian field theory has a presymplectic structure, we describe a class of conserved charges associated with the momentum map, determined by a…

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