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.
- Received 5 May 2021
- Accepted 1 July 2021
DOI:https://doi.org/10.1103/PhysRevD.104.044048
© 2021 American Physical Society
Physics Subject Headings (PhySH)
Gravitation, Cosmology & Astrophysics