Covariant phase space for gravity with boundaries: metric vs tetrad formulations
General Relativity and Quantum Cosmology
2021-09-28 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We use covariant phase space methods to study the metric and tetrad formulations of General Relativity in a manifold with boundary and compare the results obtained in both approaches. Proving their equivalence has been a long-lasting problem that we solve here by using the cohomological approach provided by the relative bicomplex framework. This setting provides a clean and ambiguity-free way to describe the solution spaces and associated symplectic structures. We also compute several relevant charges in both schemes and show that they are equivalent, as expected.
Keywords
Cite
@article{arxiv.2103.06362,
title = {Covariant phase space for gravity with boundaries: metric vs tetrad formulations},
author = {J. Fernando Barbero G. and Juan Margalef-Bentabol and Valle Varo and Eduardo J. S. Villaseñor},
journal= {arXiv preprint arXiv:2103.06362},
year = {2021}
}