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

J.F. Barbero G., J. Margalef-Bentabol, V. Varo, E.J. S. Villaseñor

Physical Review D Vol. 104, nº. 4, pp. 044046-1 - 044046-6

Summary:

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 relative bicomplex framework. Finally, we discuss some of the physical implications derived from this equivalence in the context of singularity identification through curvature invariants.

Keywords: Alternative gravity theories , General relativity , General relativity equations & solutions , General relativity formalism , Gravitation

JCR Impact Factor and WoS quartile: 5,407 - Q1 (2021); 5,000 - Q1 (2022)

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

Published on paper: August 2021.

Published on-line: August 2021.

Citation:
J.F. Barbero G., J. Margalef-Bentabol, V. Varo, E.J. S. Villaseñor, Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables. Physical Review D. Vol. 104, nº. 4, pp. 044046-1 - 044046-6, August 2021. [Online: August 2021]