RT Journal Article
T1 Covariant phase space for gravity with boundaries: Metric versus tetrad formulations
A1 Barbero G., J. Fernando
A1 Margalef Bentabol, Juan
A1 Varo, Valle
A1 Sánchez Villaseñor, Eduardo Jesús
AB 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.
PB American Physical Society
SN 2470-0010
YR 2021
FD 2021-08-15
LK https://hdl.handle.net/10016/33258
UL https://hdl.handle.net/10016/33258
LA eng
NO The authors wish to thank Abhay Ashtekar, Laurent Freidel, and Simone Speziale for correspondence that prompted us to clarify some of the points discussed in the paper. This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación FIS2017-84440-C2-2-P grant. J. M. -B. is supported by the Eberly Research Funds of Penn State, by the NSF Grant No. PHY-1806356 and by the Urania Stott fund of Pittsburgh foundation UN2017-92945. E. J. S. V. is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).
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