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Phase space for gravity with boundaries

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arxiv 2307.04666 v2 pith:MSV3VHVT submitted 2023-07-10 math-ph gr-qcmath.MPmath.SG

Alberto S. Cattaneo This is my paper · ORCID
classification math-phgr-qcmath.MPmath.SG
keywords spacegravityphaseanalyzedboundariescasecoframeconditions
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This explanatory note, based on the geometrical method by Kijovski and Tulczyjew, describes the construction of the reduced phase space of Lagrangian field theories, i.e., the correct space of initial conditions with its symplectic structure. Several examples and, in particular, the case of four-dimensional gravity in the coframe formalism (Palatini--Cartan theory) are analyzed.

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Cited by 1 Pith paper

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  1. 4D Palatini-Cartan Gravity in Hamiltonian Form

    gr-qc 2025-07 accept novelty 6.0 of 10

    Eliminating an auxiliary piece of the spatial connection turns 4D Palatini-Cartan gravity into a Hamiltonian system with zero Hamiltonian, first-class constraints, and an ADM mass boundary term.

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