Covariant phase space for gravity with boundaries: metric versus tetrad formulations

J.F. Barbero G., J. Margalef-Bentabol, V. Varo, E.J. S. Villaseñor

Physical Review D Vol. 104, nº. 4, pp. 044048-1 - 044048-16

Summary:

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: General relativity , General relativity formalism , Gravitation

JCR Impact Factor and WoS quartile: 5,407 - Q1 (2021); 5,000 - Q1 (2022)

DOI reference: https://doi.org/10.1103/PhysRevD.104.044048

Published on paper: August 2021.

Published on-line: August 2021.

Citation:
J.F. Barbero G., J. Margalef-Bentabol, V. Varo, E.J. S. Villaseñor, Covariant phase space for gravity with boundaries: metric versus tetrad formulations. Physical Review D. Vol. 104, nº. 4, pp. 044048-1 - 044048-16, August 2021. [Online: August 2021]