Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables

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

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Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables

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: Barbero G., J. F., Margalef-Bentabol, J., Varo, V. & Villaseñor, E. J. (2021). Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables. Physical Review D, 104(4), 044046.

ISSN: 2470-0010

DOI: https://doi.org/10.1103/PhysRevD.104.044046

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

Sponsor: The authors are grateful to G. Olmo for helpful discussions. 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 No. 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: Alternative gravity theories , General relativity , General relativity equations & solutions , General relativity formalism , Gravitation

URI: http://hdl.handle.net/10016/33257

Abstract:

We prove the equivalence in the covariant phase space of the metric and connection formulations for Palatini gravity, with nonmetricity and torsion, on a spacetime manifold with boundary. To this end, we will rely on the cohomological approach provided by the [+]

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