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arXiv · 1605.03492

On A Covariant Hamiltonian Description of Palatini's Gravity on Manifolds with Boundary

Alberto Ibort·Amelia Spivak
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Abstract

A covariant Hamiltonian description of Palatini's gravity on manifolds with boundary is presented. Palatini's gravity appears as a gauge theory satisfying a constraint in a certain topological limit. This approach allows the consideration of non-trivial topological situations. The multisymplectic framework for first-order covariant Hamiltonian field theories on manifolds with boundary, developed in [Ib15], enables analysis of the system at the boundary. The reduced phase space of the system is determined to be a symplectic manifold with a distinguished isotropic submanifold corresponding to the boundary data of the solutions of the Euler-Lagrange equations.

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Alberto Ibort, Amelia Spivak. 2016-05-11. On A Covariant Hamiltonian Description of Palatini's Gravity on Manifolds with Boundary. https://arxiv.org/abs/1605.03492

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