Phase space for gravity with boundaries
Mathematical Physics
2025-02-17 v2 General Relativity and Quantum Cosmology
math.MP
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.2307.04666,
title = {Phase space for gravity with boundaries},
author = {Alberto S. Cattaneo},
journal= {arXiv preprint arXiv:2307.04666},
year = {2025}
}
Comments
23 pages. References updated. Article commissioned by the Encyclopedia of Mathematical Physics