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

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2021-08-15
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American Physical Society
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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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General relativity, General relativity formalism, Gravitation
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Fernando 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.