Covariant phase space for gravity with boundaries: Metric versus tetrad formulations Articles uri icon

publication date

  • August 2021

start page

  • 044048

issue

  • 4

volume

  • 104

International Standard Serial Number (ISSN)

  • 2470-0010

Electronic International Standard Serial Number (EISSN)

  • 2470-0029

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

  • general relativity; general relativity formalism; gravitation