Barbero G., J. FernandoMargalef Bentabol, JuanVaro, ValleSánchez Villaseñor, Eduardo Jesús2021-09-102021-09-102021-08-15Fernando Barbero G., J., Margalef-Bentabol, J., Varo, V. & Villaseñor, E. J. (2021). Covariant phase space for gravity with boundaries: Metric versus tetrad formulations. Physical Review D, 104(4), 044048.2470-0010https://hdl.handle.net/10016/33258We 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.16eng© 2021 American Physical SocietyGeneral relativityGeneral relativity formalismGravitationresearch articleMatemáticashttps://doi.org/10.1103/PhysRevD.104.044048open access0440484Physical Review D104AR/0000028258