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

Barbero G., J. Fernando; Margalef Bentabol, Juan; Varo, Valle; Sánchez Villaseñor, Eduardo Jesús

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

Author(s): Barbero G., J. Fernando; Margalef Bentabol, Juan; Varo, Valle; Sánchez Villaseñor, Eduardo Jesús

Publisher: American Physical Society

Issued date: 2021-08-15

Citation: 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.

ISSN: 2470-0010

DOI: https://doi.org/10.1103/PhysRevD.104.044048

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Ciencia e Innovación (España)

Sponsor: 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).

Project: Gobierno de España. FIS2017-84440-C2-2-P

Keywords: General relativity , General relativity formalism , Gravitation

URI: http://hdl.handle.net/10016/33258

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 [+]

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