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arXiv · 2311.15714

The Geometry of the solution space of first order Hamiltonian field theories III: Palatini's formulation of General Relativity

Florio M. Ciaglia·Fabio Di Cosmo·Alberto Ibort·Giuseppe Marmo·Luca Schiavone·Alessandro Zampini
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Abstract

We complete the program started in two companion papers of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamiltonian field theories. The case of General Relativity is addressed by looking at it as a particular non-Abelian gauge theory in a suitable low-energy limit and via a technique related to the coisotropic embedding theorem.

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Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo, Luca Schiavone, Alessandro Zampini. 2023-11-27. The Geometry of the solution space of first order Hamiltonian field theories III: Palatini's formulation of General Relativity. https://arxiv.org/abs/2311.15714

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