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arXiv · 2103.06362

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

J. Fernando Barbero G.·Juan Margalef-Bentabol·Valle Varo·Eduardo J. S. Villaseñor
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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.

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J. Fernando Barbero G., Juan Margalef-Bentabol, Valle Varo, Eduardo J. S. Villaseñor. 2021-03-10. Covariant phase space for gravity with boundaries: metric vs tetrad formulations. https://doi.org/10.1103/physrevd.104.044048

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