Phase space for gravity with boundaries

Fuente: arXiv
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Main Author: Cattaneo, Alberto S.
Format: Preprint
Published: 2023
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author Cattaneo, Alberto S.
author_facet Cattaneo, Alberto S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_04666
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Phase space for gravity with boundaries
Cattaneo, Alberto S.
Mathematical Physics
General Relativity and Quantum Cosmology
Symplectic Geometry
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.
title Phase space for gravity with boundaries
topic Mathematical Physics
General Relativity and Quantum Cosmology
Symplectic Geometry
url https://arxiv.org/abs/2307.04666